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Finding the Fourth Proportional to 7,758.40, 11,616.94 and 5,298.02

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Solution

The fourth proportional to 7,758.40, 11,616.94 and 5,298.02 is: 7,932.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.40 : 11,616.94 = 5,298.02 : x
  2. Step 2: Convert to fraction form
    7,758.40/11,616.94 = 5,298.02/x
  3. Step 3: Cross multiply
    7,758.40x = 11,616.94 × 5,298.02
  4. Step 4: Simplify right side
    7,758.40x = 61,546,796.26
  5. Step 5: Solve for x
    x = 61,546,796.26/7,758.40
  6. Step 6: Final answer
    x = 7,932.93

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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.