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Finding the Fourth Proportional to 7,705.76, 11,565.20 and 3,029.04

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Solution

The fourth proportional to 7,705.76, 11,565.20 and 3,029.04 is: 4,546.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.76 : 11,565.20 = 3,029.04 : x
  2. Step 2: Convert to fraction form
    7,705.76/11,565.20 = 3,029.04/x
  3. Step 3: Cross multiply
    7,705.76x = 11,565.20 × 3,029.04
  4. Step 4: Simplify right side
    7,705.76x = 35,031,453.41
  5. Step 5: Solve for x
    x = 35,031,453.41/7,705.76
  6. Step 6: Final answer
    x = 4,546.14

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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.