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Finding the Fourth Proportional to 10,539.49, 14,539.93 and 6,345.31

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Solution

The fourth proportional to 10,539.49, 14,539.93 and 6,345.31 is: 8,753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.49 : 14,539.93 = 6,345.31 : x
  2. Step 2: Convert to fraction form
    10,539.49/14,539.93 = 6,345.31/x
  3. Step 3: Cross multiply
    10,539.49x = 14,539.93 × 6,345.31
  4. Step 4: Simplify right side
    10,539.49x = 92,260,363.23
  5. Step 5: Solve for x
    x = 92,260,363.23/10,539.49
  6. Step 6: Final answer
    x = 8,753.78

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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.