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Finding the Fourth Proportional to 10,342.96, 15,518.20 and 5,077.42

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Solution

The fourth proportional to 10,342.96, 15,518.20 and 5,077.42 is: 7,617.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.96 : 15,518.20 = 5,077.42 : x
  2. Step 2: Convert to fraction form
    10,342.96/15,518.20 = 5,077.42/x
  3. Step 3: Cross multiply
    10,342.96x = 15,518.20 × 5,077.42
  4. Step 4: Simplify right side
    10,342.96x = 78,792,341.45
  5. Step 5: Solve for x
    x = 78,792,341.45/10,342.96
  6. Step 6: Final answer
    x = 7,617.97

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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.