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Finding the Fourth Proportional to 10,538.66, 14,543.32 and 6,062.29

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Solution

The fourth proportional to 10,538.66, 14,543.32 and 6,062.29 is: 8,365.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.66 : 14,543.32 = 6,062.29 : x
  2. Step 2: Convert to fraction form
    10,538.66/14,543.32 = 6,062.29/x
  3. Step 3: Cross multiply
    10,538.66x = 14,543.32 × 6,062.29
  4. Step 4: Simplify right side
    10,538.66x = 88,165,823.40
  5. Step 5: Solve for x
    x = 88,165,823.40/10,538.66
  6. Step 6: Final answer
    x = 8,365.94

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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.