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Finding the Fourth Proportional to 10,159.86, 15,232.47 and 4,610.42

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Solution

The fourth proportional to 10,159.86, 15,232.47 and 4,610.42 is: 6,912.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.86 : 15,232.47 = 4,610.42 : x
  2. Step 2: Convert to fraction form
    10,159.86/15,232.47 = 4,610.42/x
  3. Step 3: Cross multiply
    10,159.86x = 15,232.47 × 4,610.42
  4. Step 4: Simplify right side
    10,159.86x = 70,228,084.34
  5. Step 5: Solve for x
    x = 70,228,084.34/10,159.86
  6. Step 6: Final answer
    x = 6,912.31

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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.