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Finding the Fourth Proportional to 7,152.93, 10,730.10 and 2,472.30

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Solution

The fourth proportional to 7,152.93, 10,730.10 and 2,472.30 is: 3,708.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.93 : 10,730.10 = 2,472.30 : x
  2. Step 2: Convert to fraction form
    7,152.93/10,730.10 = 2,472.30/x
  3. Step 3: Cross multiply
    7,152.93x = 10,730.10 × 2,472.30
  4. Step 4: Simplify right side
    7,152.93x = 26,528,026.23
  5. Step 5: Solve for x
    x = 26,528,026.23/7,152.93
  6. Step 6: Final answer
    x = 3,708.69

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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.