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Finding the Fourth Proportional to 11,580.36, 15,980.86 and 6,275.17

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Solution

The fourth proportional to 11,580.36, 15,980.86 and 6,275.17 is: 8,659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.36 : 15,980.86 = 6,275.17 : x
  2. Step 2: Convert to fraction form
    11,580.36/15,980.86 = 6,275.17/x
  3. Step 3: Cross multiply
    11,580.36x = 15,980.86 × 6,275.17
  4. Step 4: Simplify right side
    11,580.36x = 100,282,533.34
  5. Step 5: Solve for x
    x = 100,282,533.34/11,580.36
  6. Step 6: Final answer
    x = 8,659.71

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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.