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Finding the Fourth Proportional to 8,657.60, 12,971.04 and 5,908.16

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Solution

The fourth proportional to 8,657.60, 12,971.04 and 5,908.16 is: 8,851.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.60 : 12,971.04 = 5,908.16 : x
  2. Step 2: Convert to fraction form
    8,657.60/12,971.04 = 5,908.16/x
  3. Step 3: Cross multiply
    8,657.60x = 12,971.04 × 5,908.16
  4. Step 4: Simplify right side
    8,657.60x = 76,634,979.69
  5. Step 5: Solve for x
    x = 76,634,979.69/8,657.60
  6. Step 6: Final answer
    x = 8,851.76

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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.