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Finding the Fourth Proportional to 10,484.34, 15,712.80 and 9,013.56

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Solution

The fourth proportional to 10,484.34, 15,712.80 and 9,013.56 is: 13,508.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.34 : 15,712.80 = 9,013.56 : x
  2. Step 2: Convert to fraction form
    10,484.34/15,712.80 = 9,013.56/x
  3. Step 3: Cross multiply
    10,484.34x = 15,712.80 × 9,013.56
  4. Step 4: Simplify right side
    10,484.34x = 141,628,265.57
  5. Step 5: Solve for x
    x = 141,628,265.57/10,484.34
  6. Step 6: Final answer
    x = 13,508.55

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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.