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Finding the Fourth Proportional to 11,580.33, 15,980.70 and 6,275.10

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Solution

The fourth proportional to 11,580.33, 15,980.70 and 6,275.10 is: 8,659.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.33 : 15,980.70 = 6,275.10 : x
  2. Step 2: Convert to fraction form
    11,580.33/15,980.70 = 6,275.10/x
  3. Step 3: Cross multiply
    11,580.33x = 15,980.70 × 6,275.10
  4. Step 4: Simplify right side
    11,580.33x = 100,280,490.57
  5. Step 5: Solve for x
    x = 100,280,490.57/11,580.33
  6. Step 6: Final answer
    x = 8,659.55

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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.