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Finding the Fourth Proportional to 7,002.72, 10,500.42 and 2,071.74

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Solution

The fourth proportional to 7,002.72, 10,500.42 and 2,071.74 is: 3,106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.72 : 10,500.42 = 2,071.74 : x
  2. Step 2: Convert to fraction form
    7,002.72/10,500.42 = 2,071.74/x
  3. Step 3: Cross multiply
    7,002.72x = 10,500.42 × 2,071.74
  4. Step 4: Simplify right side
    7,002.72x = 21,754,140.13
  5. Step 5: Solve for x
    x = 21,754,140.13/7,002.72
  6. Step 6: Final answer
    x = 3,106.53

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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.