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Finding the Fourth Proportional to 7,152.78, 10,726.53 and 2,471.58

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Solution

The fourth proportional to 7,152.78, 10,726.53 and 2,471.58 is: 3,706.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.78 : 10,726.53 = 2,471.58 : x
  2. Step 2: Convert to fraction form
    7,152.78/10,726.53 = 2,471.58/x
  3. Step 3: Cross multiply
    7,152.78x = 10,726.53 × 2,471.58
  4. Step 4: Simplify right side
    7,152.78x = 26,511,477.02
  5. Step 5: Solve for x
    x = 26,511,477.02/7,152.78
  6. Step 6: Final answer
    x = 3,706.46

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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.