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Finding the Fourth Proportional to 8,411.50, 11,607.87 and 4,685.74

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Solution

The fourth proportional to 8,411.50, 11,607.87 and 4,685.74 is: 6,466.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.50 : 11,607.87 = 4,685.74 : x
  2. Step 2: Convert to fraction form
    8,411.50/11,607.87 = 4,685.74/x
  3. Step 3: Cross multiply
    8,411.50x = 11,607.87 × 4,685.74
  4. Step 4: Simplify right side
    8,411.50x = 54,391,460.77
  5. Step 5: Solve for x
    x = 54,391,460.77/8,411.50
  6. Step 6: Final answer
    x = 6,466.32

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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.