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Finding the Fourth Proportional to 10,591.04, 15,875.04 and 7,976

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Solution

The fourth proportional to 10,591.04, 15,875.04 and 7,976 is: 11,955.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.04 : 15,875.04 = 7,976 : x
  2. Step 2: Convert to fraction form
    10,591.04/15,875.04 = 7,976/x
  3. Step 3: Cross multiply
    10,591.04x = 15,875.04 × 7,976
  4. Step 4: Simplify right side
    10,591.04x = 126,619,319.04
  5. Step 5: Solve for x
    x = 126,619,319.04/10,591.04
  6. Step 6: Final answer
    x = 11,955.32

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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.