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Finding the Fourth Proportional to 8,328.80, 11,484.42 and 5,677.76

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Solution

The fourth proportional to 8,328.80, 11,484.42 and 5,677.76 is: 7,828.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,328.80 : 11,484.42 = 5,677.76 : x
  2. Step 2: Convert to fraction form
    8,328.80/11,484.42 = 5,677.76/x
  3. Step 3: Cross multiply
    8,328.80x = 11,484.42 × 5,677.76
  4. Step 4: Simplify right side
    8,328.80x = 65,205,780.50
  5. Step 5: Solve for x
    x = 65,205,780.50/8,328.80
  6. Step 6: Final answer
    x = 7,828.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.