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Finding the Fourth Proportional to 10,876.24, 15,009.22 and 6,160.52

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Solution

The fourth proportional to 10,876.24, 15,009.22 and 6,160.52 is: 8,501.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.24 : 15,009.22 = 6,160.52 : x
  2. Step 2: Convert to fraction form
    10,876.24/15,009.22 = 6,160.52/x
  3. Step 3: Cross multiply
    10,876.24x = 15,009.22 × 6,160.52
  4. Step 4: Simplify right side
    10,876.24x = 92,464,526.14
  5. Step 5: Solve for x
    x = 92,464,526.14/10,876.24
  6. Step 6: Final answer
    x = 8,501.52

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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.