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Finding the Fourth Proportional to 10,432.86, 15,644.42 and 6,051.57

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Solution

The fourth proportional to 10,432.86, 15,644.42 and 6,051.57 is: 9,074.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.86 : 15,644.42 = 6,051.57 : x
  2. Step 2: Convert to fraction form
    10,432.86/15,644.42 = 6,051.57/x
  3. Step 3: Cross multiply
    10,432.86x = 15,644.42 × 6,051.57
  4. Step 4: Simplify right side
    10,432.86x = 94,673,224.52
  5. Step 5: Solve for x
    x = 94,673,224.52/10,432.86
  6. Step 6: Final answer
    x = 9,074.53

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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.