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Finding the Fourth Proportional to 7,538.80, 11,298.90 and 5,465.92

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Solution

The fourth proportional to 7,538.80, 11,298.90 and 5,465.92 is: 8,192.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.80 : 11,298.90 = 5,465.92 : x
  2. Step 2: Convert to fraction form
    7,538.80/11,298.90 = 5,465.92/x
  3. Step 3: Cross multiply
    7,538.80x = 11,298.90 × 5,465.92
  4. Step 4: Simplify right side
    7,538.80x = 61,758,883.49
  5. Step 5: Solve for x
    x = 61,758,883.49/7,538.80
  6. Step 6: Final answer
    x = 8,192.14

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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.