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Finding the Fourth Proportional to 7,178.51, 10,759.55 and 4,407.17

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Solution

The fourth proportional to 7,178.51, 10,759.55 and 4,407.17 is: 6,605.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.51 : 10,759.55 = 4,407.17 : x
  2. Step 2: Convert to fraction form
    7,178.51/10,759.55 = 4,407.17/x
  3. Step 3: Cross multiply
    7,178.51x = 10,759.55 × 4,407.17
  4. Step 4: Simplify right side
    7,178.51x = 47,419,123.19
  5. Step 5: Solve for x
    x = 47,419,123.19/7,178.51
  6. Step 6: Final answer
    x = 6,605.71

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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.