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Finding the Fourth Proportional to 10,818.90, 14,916.38 and 9,202.18

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Solution

The fourth proportional to 10,818.90, 14,916.38 and 9,202.18 is: 12,687.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,818.90 : 14,916.38 = 9,202.18 : x
  2. Step 2: Convert to fraction form
    10,818.90/14,916.38 = 9,202.18/x
  3. Step 3: Cross multiply
    10,818.90x = 14,916.38 × 9,202.18
  4. Step 4: Simplify right side
    10,818.90x = 137,263,213.71
  5. Step 5: Solve for x
    x = 137,263,213.71/10,818.90
  6. Step 6: Final answer
    x = 12,687.35

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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.