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Finding the Fourth Proportional to 10,118.49, 13,957.20 and 6,532.06

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Solution

The fourth proportional to 10,118.49, 13,957.20 and 6,532.06 is: 9,010.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,118.49 : 13,957.20 = 6,532.06 : x
  2. Step 2: Convert to fraction form
    10,118.49/13,957.20 = 6,532.06/x
  3. Step 3: Cross multiply
    10,118.49x = 13,957.20 × 6,532.06
  4. Step 4: Simplify right side
    10,118.49x = 91,169,267.83
  5. Step 5: Solve for x
    x = 91,169,267.83/10,118.49
  6. Step 6: Final answer
    x = 9,010.17

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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.