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Finding the Fourth Proportional to 8,478.86, 11,708.43 and 5,499.50

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Solution

The fourth proportional to 8,478.86, 11,708.43 and 5,499.50 is: 7,594.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.86 : 11,708.43 = 5,499.50 : x
  2. Step 2: Convert to fraction form
    8,478.86/11,708.43 = 5,499.50/x
  3. Step 3: Cross multiply
    8,478.86x = 11,708.43 × 5,499.50
  4. Step 4: Simplify right side
    8,478.86x = 64,390,510.79
  5. Step 5: Solve for x
    x = 64,390,510.79/8,478.86
  6. Step 6: Final answer
    x = 7,594.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.