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Finding the Fourth Proportional to 7,774.20, 11,655.24 and 5,302.92

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Solution

The fourth proportional to 7,774.20, 11,655.24 and 5,302.92 is: 7,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.20 : 11,655.24 = 5,302.92 : x
  2. Step 2: Convert to fraction form
    7,774.20/11,655.24 = 5,302.92/x
  3. Step 3: Cross multiply
    7,774.20x = 11,655.24 × 5,302.92
  4. Step 4: Simplify right side
    7,774.20x = 61,806,805.30
  5. Step 5: Solve for x
    x = 61,806,805.30/7,774.20
  6. Step 6: Final answer
    x = 7,950.25

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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.