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Finding the Fourth Proportional to 7,652.64, 11,470.72 and 5,011.84

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Solution

The fourth proportional to 7,652.64, 11,470.72 and 5,011.84 is: 7,512.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.64 : 11,470.72 = 5,011.84 : x
  2. Step 2: Convert to fraction form
    7,652.64/11,470.72 = 5,011.84/x
  3. Step 3: Cross multiply
    7,652.64x = 11,470.72 × 5,011.84
  4. Step 4: Simplify right side
    7,652.64x = 57,489,413.32
  5. Step 5: Solve for x
    x = 57,489,413.32/7,652.64
  6. Step 6: Final answer
    x = 7,512.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.