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Finding the Fourth Proportional to 7,102.59, 10,655.52 and 2,172.18

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Solution

The fourth proportional to 7,102.59, 10,655.52 and 2,172.18 is: 3,258.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.59 : 10,655.52 = 2,172.18 : x
  2. Step 2: Convert to fraction form
    7,102.59/10,655.52 = 2,172.18/x
  3. Step 3: Cross multiply
    7,102.59x = 10,655.52 × 2,172.18
  4. Step 4: Simplify right side
    7,102.59x = 23,145,707.43
  5. Step 5: Solve for x
    x = 23,145,707.43/7,102.59
  6. Step 6: Final answer
    x = 3,258.77

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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.