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Finding the Fourth Proportional to 10,461.16, 14,457.12 and 8,569.74

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Solution

The fourth proportional to 10,461.16, 14,457.12 and 8,569.74 is: 11,843.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.16 : 14,457.12 = 8,569.74 : x
  2. Step 2: Convert to fraction form
    10,461.16/14,457.12 = 8,569.74/x
  3. Step 3: Cross multiply
    10,461.16x = 14,457.12 × 8,569.74
  4. Step 4: Simplify right side
    10,461.16x = 123,893,759.55
  5. Step 5: Solve for x
    x = 123,893,759.55/10,461.16
  6. Step 6: Final answer
    x = 11,843.21

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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.