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Finding the Fourth Proportional to 7,489.68, 11,224.44 and 2,870.16

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Solution

The fourth proportional to 7,489.68, 11,224.44 and 2,870.16 is: 4,301.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.68 : 11,224.44 = 2,870.16 : x
  2. Step 2: Convert to fraction form
    7,489.68/11,224.44 = 2,870.16/x
  3. Step 3: Cross multiply
    7,489.68x = 11,224.44 × 2,870.16
  4. Step 4: Simplify right side
    7,489.68x = 32,215,938.71
  5. Step 5: Solve for x
    x = 32,215,938.71/7,489.68
  6. Step 6: Final answer
    x = 4,301.38

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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.