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Finding the Fourth Proportional to 7,178.76, 9,903.87 and 5,294.86

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Solution

The fourth proportional to 7,178.76, 9,903.87 and 5,294.86 is: 7,304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.76 : 9,903.87 = 5,294.86 : x
  2. Step 2: Convert to fraction form
    7,178.76/9,903.87 = 5,294.86/x
  3. Step 3: Cross multiply
    7,178.76x = 9,903.87 × 5,294.86
  4. Step 4: Simplify right side
    7,178.76x = 52,439,605.11
  5. Step 5: Solve for x
    x = 52,439,605.11/7,178.76
  6. Step 6: Final answer
    x = 7,304.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.