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Finding the Fourth Proportional to 7,407.60, 11,098.92 and 4,476.96

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Solution

The fourth proportional to 7,407.60, 11,098.92 and 4,476.96 is: 6,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.60 : 11,098.92 = 4,476.96 : x
  2. Step 2: Convert to fraction form
    7,407.60/11,098.92 = 4,476.96/x
  3. Step 3: Cross multiply
    7,407.60x = 11,098.92 × 4,476.96
  4. Step 4: Simplify right side
    7,407.60x = 49,689,420.88
  5. Step 5: Solve for x
    x = 49,689,420.88/7,407.60
  6. Step 6: Final answer
    x = 6,707.90

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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.