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Finding the Fourth Proportional to 7,761.28, 10,705.80 and 4,774.72

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Solution

The fourth proportional to 7,761.28, 10,705.80 and 4,774.72 is: 6,586.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.28 : 10,705.80 = 4,774.72 : x
  2. Step 2: Convert to fraction form
    7,761.28/10,705.80 = 4,774.72/x
  3. Step 3: Cross multiply
    7,761.28x = 10,705.80 × 4,774.72
  4. Step 4: Simplify right side
    7,761.28x = 51,117,197.38
  5. Step 5: Solve for x
    x = 51,117,197.38/7,761.28
  6. Step 6: Final answer
    x = 6,586.18

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Why These Related Problems?

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