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Finding the Fourth Proportional to 11,252.70, 15,533.10 and 10,071.72

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Solution

The fourth proportional to 11,252.70, 15,533.10 and 10,071.72 is: 13,902.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,252.70 : 15,533.10 = 10,071.72 : x
  2. Step 2: Convert to fraction form
    11,252.70/15,533.10 = 10,071.72/x
  3. Step 3: Cross multiply
    11,252.70x = 15,533.10 × 10,071.72
  4. Step 4: Simplify right side
    11,252.70x = 156,445,033.93
  5. Step 5: Solve for x
    x = 156,445,033.93/11,252.70
  6. Step 6: Final answer
    x = 13,902.89

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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.