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Finding the Fourth Proportional to 10,340.64, 14,270.09 and 5,624.91

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Solution

The fourth proportional to 10,340.64, 14,270.09 and 5,624.91 is: 7,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.64 : 14,270.09 = 5,624.91 : x
  2. Step 2: Convert to fraction form
    10,340.64/14,270.09 = 5,624.91/x
  3. Step 3: Cross multiply
    10,340.64x = 14,270.09 × 5,624.91
  4. Step 4: Simplify right side
    10,340.64x = 80,267,943.82
  5. Step 5: Solve for x
    x = 80,267,943.82/10,340.64
  6. Step 6: Final answer
    x = 7,762.38

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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.