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Finding the Fourth Proportional to 10,647.88, 14,662.38 and 10,411.86

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Solution

The fourth proportional to 10,647.88, 14,662.38 and 10,411.86 is: 14,337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.88 : 14,662.38 = 10,411.86 : x
  2. Step 2: Convert to fraction form
    10,647.88/14,662.38 = 10,411.86/x
  3. Step 3: Cross multiply
    10,647.88x = 14,662.38 × 10,411.86
  4. Step 4: Simplify right side
    10,647.88x = 152,662,647.83
  5. Step 5: Solve for x
    x = 152,662,647.83/10,647.88
  6. Step 6: Final answer
    x = 14,337.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.