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Finding the Fourth Proportional to 10,523.96, 15,778.62 and 5,326.28

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Solution

The fourth proportional to 10,523.96, 15,778.62 and 5,326.28 is: 7,985.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.96 : 15,778.62 = 5,326.28 : x
  2. Step 2: Convert to fraction form
    10,523.96/15,778.62 = 5,326.28/x
  3. Step 3: Cross multiply
    10,523.96x = 15,778.62 × 5,326.28
  4. Step 4: Simplify right side
    10,523.96x = 84,041,348.13
  5. Step 5: Solve for x
    x = 84,041,348.13/10,523.96
  6. Step 6: Final answer
    x = 7,985.72

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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.