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Finding the Fourth Proportional to 11,580.75, 15,981 and 6,275.45

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Solution

The fourth proportional to 11,580.75, 15,981 and 6,275.45 is: 8,659.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.75 : 15,981 = 6,275.45 : x
  2. Step 2: Convert to fraction form
    11,580.75/15,981 = 6,275.45/x
  3. Step 3: Cross multiply
    11,580.75x = 15,981 × 6,275.45
  4. Step 4: Simplify right side
    11,580.75x = 100,287,966.45
  5. Step 5: Solve for x
    x = 100,287,966.45/11,580.75
  6. Step 6: Final answer
    x = 8,659.89

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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.