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Finding the Fourth Proportional to 10,123.96, 15,185.94 and 5,437.52

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Solution

The fourth proportional to 10,123.96, 15,185.94 and 5,437.52 is: 8,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123.96 : 15,185.94 = 5,437.52 : x
  2. Step 2: Convert to fraction form
    10,123.96/15,185.94 = 5,437.52/x
  3. Step 3: Cross multiply
    10,123.96x = 15,185.94 × 5,437.52
  4. Step 4: Simplify right side
    10,123.96x = 82,573,852.47
  5. Step 5: Solve for x
    x = 82,573,852.47/10,123.96
  6. Step 6: Final answer
    x = 8,156.28

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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.