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Finding the Fourth Proportional to 7,800.64, 10,767.92 and 5,281.52

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Solution

The fourth proportional to 7,800.64, 10,767.92 and 5,281.52 is: 7,290.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.64 : 10,767.92 = 5,281.52 : x
  2. Step 2: Convert to fraction form
    7,800.64/10,767.92 = 5,281.52/x
  3. Step 3: Cross multiply
    7,800.64x = 10,767.92 × 5,281.52
  4. Step 4: Simplify right side
    7,800.64x = 56,870,984.84
  5. Step 5: Solve for x
    x = 56,870,984.84/7,800.64
  6. Step 6: Final answer
    x = 7,290.55

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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.