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Finding the Fourth Proportional to 7,152.46, 10,726.06 and 2,471.27

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Solution

The fourth proportional to 7,152.46, 10,726.06 and 2,471.27 is: 3,706.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.46 : 10,726.06 = 2,471.27 : x
  2. Step 2: Convert to fraction form
    7,152.46/10,726.06 = 2,471.27/x
  3. Step 3: Cross multiply
    7,152.46x = 10,726.06 × 2,471.27
  4. Step 4: Simplify right side
    7,152.46x = 26,506,990.30
  5. Step 5: Solve for x
    x = 26,506,990.30/7,152.46
  6. Step 6: Final answer
    x = 3,706.00

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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.