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Finding the Fourth Proportional to 10,411.72, 14,368.68 and 6,165.22

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Solution

The fourth proportional to 10,411.72, 14,368.68 and 6,165.22 is: 8,508.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.72 : 14,368.68 = 6,165.22 : x
  2. Step 2: Convert to fraction form
    10,411.72/14,368.68 = 6,165.22/x
  3. Step 3: Cross multiply
    10,411.72x = 14,368.68 × 6,165.22
  4. Step 4: Simplify right side
    10,411.72x = 88,586,073.31
  5. Step 5: Solve for x
    x = 88,586,073.31/10,411.72
  6. Step 6: Final answer
    x = 8,508.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.