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Finding the Fourth Proportional to 10,516.32, 14,506 and 6,264.49

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Solution

The fourth proportional to 10,516.32, 14,506 and 6,264.49 is: 8,641.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516.32 : 14,506 = 6,264.49 : x
  2. Step 2: Convert to fraction form
    10,516.32/14,506 = 6,264.49/x
  3. Step 3: Cross multiply
    10,516.32x = 14,506 × 6,264.49
  4. Step 4: Simplify right side
    10,516.32x = 90,872,691.94
  5. Step 5: Solve for x
    x = 90,872,691.94/10,516.32
  6. Step 6: Final answer
    x = 8,641.11

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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.