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Finding the Fourth Proportional to 10,502.18, 14,488.26 and 6,916.17

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Solution

The fourth proportional to 10,502.18, 14,488.26 and 6,916.17 is: 9,541.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.18 : 14,488.26 = 6,916.17 : x
  2. Step 2: Convert to fraction form
    10,502.18/14,488.26 = 6,916.17/x
  3. Step 3: Cross multiply
    10,502.18x = 14,488.26 × 6,916.17
  4. Step 4: Simplify right side
    10,502.18x = 100,203,269.16
  5. Step 5: Solve for x
    x = 100,203,269.16/10,502.18
  6. Step 6: Final answer
    x = 9,541.19

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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.