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Finding the Fourth Proportional to 10,639.50, 15,973.38 and 9,089.46

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Solution

The fourth proportional to 10,639.50, 15,973.38 and 9,089.46 is: 13,646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,639.50 : 15,973.38 = 9,089.46 : x
  2. Step 2: Convert to fraction form
    10,639.50/15,973.38 = 9,089.46/x
  3. Step 3: Cross multiply
    10,639.50x = 15,973.38 × 9,089.46
  4. Step 4: Simplify right side
    10,639.50x = 145,189,398.57
  5. Step 5: Solve for x
    x = 145,189,398.57/10,639.50
  6. Step 6: Final answer
    x = 13,646.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.