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Finding the Fourth Proportional to 10,590.16, 15,894.96 and 5,399.68

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Solution

The fourth proportional to 10,590.16, 15,894.96 and 5,399.68 is: 8,104.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.16 : 15,894.96 = 5,399.68 : x
  2. Step 2: Convert to fraction form
    10,590.16/15,894.96 = 5,399.68/x
  3. Step 3: Cross multiply
    10,590.16x = 15,894.96 × 5,399.68
  4. Step 4: Simplify right side
    10,590.16x = 85,827,697.61
  5. Step 5: Solve for x
    x = 85,827,697.61/10,590.16
  6. Step 6: Final answer
    x = 8,104.48

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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.