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Finding the Fourth Proportional to 10,523.16, 15,782.87 and 3,502.48

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Solution

The fourth proportional to 10,523.16, 15,782.87 and 3,502.48 is: 5,253.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.16 : 15,782.87 = 3,502.48 : x
  2. Step 2: Convert to fraction form
    10,523.16/15,782.87 = 3,502.48/x
  3. Step 3: Cross multiply
    10,523.16x = 15,782.87 × 3,502.48
  4. Step 4: Simplify right side
    10,523.16x = 55,279,186.52
  5. Step 5: Solve for x
    x = 55,279,186.52/10,523.16
  6. Step 6: Final answer
    x = 5,253.10

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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.