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Finding the Fourth Proportional to 10,241.64, 15,362.76 and 4,001.40

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Solution

The fourth proportional to 10,241.64, 15,362.76 and 4,001.40 is: 6,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.64 : 15,362.76 = 4,001.40 : x
  2. Step 2: Convert to fraction form
    10,241.64/15,362.76 = 4,001.40/x
  3. Step 3: Cross multiply
    10,241.64x = 15,362.76 × 4,001.40
  4. Step 4: Simplify right side
    10,241.64x = 61,472,562.87
  5. Step 5: Solve for x
    x = 61,472,562.87/10,241.64
  6. Step 6: Final answer
    x = 6,002.22

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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.