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Finding the Fourth Proportional to 10,402.98, 15,590.70 and 5,462.52

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Solution

The fourth proportional to 10,402.98, 15,590.70 and 5,462.52 is: 8,186.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.98 : 15,590.70 = 5,462.52 : x
  2. Step 2: Convert to fraction form
    10,402.98/15,590.70 = 5,462.52/x
  3. Step 3: Cross multiply
    10,402.98x = 15,590.70 × 5,462.52
  4. Step 4: Simplify right side
    10,402.98x = 85,164,510.56
  5. Step 5: Solve for x
    x = 85,164,510.56/10,402.98
  6. Step 6: Final answer
    x = 8,186.55

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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.