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Finding the Fourth Proportional to 7,645.32, 11,471.88 and 3,484.74

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Solution

The fourth proportional to 7,645.32, 11,471.88 and 3,484.74 is: 5,228.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.32 : 11,471.88 = 3,484.74 : x
  2. Step 2: Convert to fraction form
    7,645.32/11,471.88 = 3,484.74/x
  3. Step 3: Cross multiply
    7,645.32x = 11,471.88 × 3,484.74
  4. Step 4: Simplify right side
    7,645.32x = 39,976,519.11
  5. Step 5: Solve for x
    x = 39,976,519.11/7,645.32
  6. Step 6: Final answer
    x = 5,228.89

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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.