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Finding the Fourth Proportional to 10,439.66, 15,659.50 and 7,978.88

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Solution

The fourth proportional to 10,439.66, 15,659.50 and 7,978.88 is: 11,968.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439.66 : 15,659.50 = 7,978.88 : x
  2. Step 2: Convert to fraction form
    10,439.66/15,659.50 = 7,978.88/x
  3. Step 3: Cross multiply
    10,439.66x = 15,659.50 × 7,978.88
  4. Step 4: Simplify right side
    10,439.66x = 124,945,271.36
  5. Step 5: Solve for x
    x = 124,945,271.36/10,439.66
  6. Step 6: Final answer
    x = 11,968.33

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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.