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Finding the Fourth Proportional to 10,572.98, 15,858.65 and 2,781.59

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Solution

The fourth proportional to 10,572.98, 15,858.65 and 2,781.59 is: 4,172.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.98 : 15,858.65 = 2,781.59 : x
  2. Step 2: Convert to fraction form
    10,572.98/15,858.65 = 2,781.59/x
  3. Step 3: Cross multiply
    10,572.98x = 15,858.65 × 2,781.59
  4. Step 4: Simplify right side
    10,572.98x = 44,112,169.05
  5. Step 5: Solve for x
    x = 44,112,169.05/10,572.98
  6. Step 6: Final answer
    x = 4,172.16

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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.