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Finding the Fourth Proportional to 7,002.92, 10,502.86 and 2,071.72

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Solution

The fourth proportional to 7,002.92, 10,502.86 and 2,071.72 is: 3,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.92 : 10,502.86 = 2,071.72 : x
  2. Step 2: Convert to fraction form
    7,002.92/10,502.86 = 2,071.72/x
  3. Step 3: Cross multiply
    7,002.92x = 10,502.86 × 2,071.72
  4. Step 4: Simplify right side
    7,002.92x = 21,758,985.12
  5. Step 5: Solve for x
    x = 21,758,985.12/7,002.92
  6. Step 6: Final answer
    x = 3,107.13

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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.