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Finding the Fourth Proportional to 7,110.76, 9,813.05 and 3,966.88

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Solution

The fourth proportional to 7,110.76, 9,813.05 and 3,966.88 is: 5,474.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.76 : 9,813.05 = 3,966.88 : x
  2. Step 2: Convert to fraction form
    7,110.76/9,813.05 = 3,966.88/x
  3. Step 3: Cross multiply
    7,110.76x = 9,813.05 × 3,966.88
  4. Step 4: Simplify right side
    7,110.76x = 38,927,191.78
  5. Step 5: Solve for x
    x = 38,927,191.78/7,110.76
  6. Step 6: Final answer
    x = 5,474.41

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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.