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Finding the Fourth Proportional to 7,146.09, 10,718.19 and 4,505.76

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Solution

The fourth proportional to 7,146.09, 10,718.19 and 4,505.76 is: 6,758.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.09 : 10,718.19 = 4,505.76 : x
  2. Step 2: Convert to fraction form
    7,146.09/10,718.19 = 4,505.76/x
  3. Step 3: Cross multiply
    7,146.09x = 10,718.19 × 4,505.76
  4. Step 4: Simplify right side
    7,146.09x = 48,293,591.77
  5. Step 5: Solve for x
    x = 48,293,591.77/7,146.09
  6. Step 6: Final answer
    x = 6,758.04

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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.