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Finding the Fourth Proportional to 10,963.32, 15,137.28 and 9,898.98

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Solution

The fourth proportional to 10,963.32, 15,137.28 and 9,898.98 is: 13,667.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963.32 : 15,137.28 = 9,898.98 : x
  2. Step 2: Convert to fraction form
    10,963.32/15,137.28 = 9,898.98/x
  3. Step 3: Cross multiply
    10,963.32x = 15,137.28 × 9,898.98
  4. Step 4: Simplify right side
    10,963.32x = 149,843,631.97
  5. Step 5: Solve for x
    x = 149,843,631.97/10,963.32
  6. Step 6: Final answer
    x = 13,667.72

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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.