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Finding the Fourth Proportional to 10,423.86, 15,630.90 and 6,042.57

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Solution

The fourth proportional to 10,423.86, 15,630.90 and 6,042.57 is: 9,061.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.86 : 15,630.90 = 6,042.57 : x
  2. Step 2: Convert to fraction form
    10,423.86/15,630.90 = 6,042.57/x
  3. Step 3: Cross multiply
    10,423.86x = 15,630.90 × 6,042.57
  4. Step 4: Simplify right side
    10,423.86x = 94,450,807.41
  5. Step 5: Solve for x
    x = 94,450,807.41/10,423.86
  6. Step 6: Final answer
    x = 9,061.02

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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.