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Finding the Fourth Proportional to 6,870.86, 10,217.92 and 6,652.16

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Solution

The fourth proportional to 6,870.86, 10,217.92 and 6,652.16 is: 9,892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.86 : 10,217.92 = 6,652.16 : x
  2. Step 2: Convert to fraction form
    6,870.86/10,217.92 = 6,652.16/x
  3. Step 3: Cross multiply
    6,870.86x = 10,217.92 × 6,652.16
  4. Step 4: Simplify right side
    6,870.86x = 67,971,238.71
  5. Step 5: Solve for x
    x = 67,971,238.71/6,870.86
  6. Step 6: Final answer
    x = 9,892.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.