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Finding the Fourth Proportional to 7,002.68, 10,500.70 and 2,557.25

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Solution

The fourth proportional to 7,002.68, 10,500.70 and 2,557.25 is: 3,834.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.68 : 10,500.70 = 2,557.25 : x
  2. Step 2: Convert to fraction form
    7,002.68/10,500.70 = 2,557.25/x
  3. Step 3: Cross multiply
    7,002.68x = 10,500.70 × 2,557.25
  4. Step 4: Simplify right side
    7,002.68x = 26,852,915.08
  5. Step 5: Solve for x
    x = 26,852,915.08/7,002.68
  6. Step 6: Final answer
    x = 3,834.66

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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.