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Finding the Fourth Proportional to 10,572.42, 15,858.82 and 4,001.70

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Solution

The fourth proportional to 10,572.42, 15,858.82 and 4,001.70 is: 6,002.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.42 : 15,858.82 = 4,001.70 : x
  2. Step 2: Convert to fraction form
    10,572.42/15,858.82 = 4,001.70/x
  3. Step 3: Cross multiply
    10,572.42x = 15,858.82 × 4,001.70
  4. Step 4: Simplify right side
    10,572.42x = 63,462,239.99
  5. Step 5: Solve for x
    x = 63,462,239.99/10,572.42
  6. Step 6: Final answer
    x = 6,002.62

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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.