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Finding the Fourth Proportional to 7,764.54, 10,713.78 and 4,580.52

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Solution

The fourth proportional to 7,764.54, 10,713.78 and 4,580.52 is: 6,320.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.54 : 10,713.78 = 4,580.52 : x
  2. Step 2: Convert to fraction form
    7,764.54/10,713.78 = 4,580.52/x
  3. Step 3: Cross multiply
    7,764.54x = 10,713.78 × 4,580.52
  4. Step 4: Simplify right side
    7,764.54x = 49,074,683.57
  5. Step 5: Solve for x
    x = 49,074,683.57/7,764.54
  6. Step 6: Final answer
    x = 6,320.36

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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.