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Finding the Fourth Proportional to 7,178.60, 9,889.62 and 5,778.92

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Solution

The fourth proportional to 7,178.60, 9,889.62 and 5,778.92 is: 7,961.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.60 : 9,889.62 = 5,778.92 : x
  2. Step 2: Convert to fraction form
    7,178.60/9,889.62 = 5,778.92/x
  3. Step 3: Cross multiply
    7,178.60x = 9,889.62 × 5,778.92
  4. Step 4: Simplify right side
    7,178.60x = 57,151,322.81
  5. Step 5: Solve for x
    x = 57,151,322.81/7,178.60
  6. Step 6: Final answer
    x = 7,961.35

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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.