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Finding the Fourth Proportional to 10,523.52, 14,522.76 and 5,807.70

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Solution

The fourth proportional to 10,523.52, 14,522.76 and 5,807.70 is: 8,014.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.52 : 14,522.76 = 5,807.70 : x
  2. Step 2: Convert to fraction form
    10,523.52/14,522.76 = 5,807.70/x
  3. Step 3: Cross multiply
    10,523.52x = 14,522.76 × 5,807.70
  4. Step 4: Simplify right side
    10,523.52x = 84,343,833.25
  5. Step 5: Solve for x
    x = 84,343,833.25/10,523.52
  6. Step 6: Final answer
    x = 8,014.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.