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Finding the Fourth Proportional to 7,780.71, 10,731.49 and 4,945.66

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Solution

The fourth proportional to 7,780.71, 10,731.49 and 4,945.66 is: 6,821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.71 : 10,731.49 = 4,945.66 : x
  2. Step 2: Convert to fraction form
    7,780.71/10,731.49 = 4,945.66/x
  3. Step 3: Cross multiply
    7,780.71x = 10,731.49 × 4,945.66
  4. Step 4: Simplify right side
    7,780.71x = 53,074,261.64
  5. Step 5: Solve for x
    x = 53,074,261.64/7,780.71
  6. Step 6: Final answer
    x = 6,821.26

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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.