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Finding the Fourth Proportional to 7,782.32, 11,642.76 and 6,013.52

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Solution

The fourth proportional to 7,782.32, 11,642.76 and 6,013.52 is: 8,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.32 : 11,642.76 = 6,013.52 : x
  2. Step 2: Convert to fraction form
    7,782.32/11,642.76 = 6,013.52/x
  3. Step 3: Cross multiply
    7,782.32x = 11,642.76 × 6,013.52
  4. Step 4: Simplify right side
    7,782.32x = 70,013,970.12
  5. Step 5: Solve for x
    x = 70,013,970.12/7,782.32
  6. Step 6: Final answer
    x = 8,996.54

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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.