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Finding the Fourth Proportional to 11,298.22, 15,586.27 and 7,108.78

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Solution

The fourth proportional to 11,298.22, 15,586.27 and 7,108.78 is: 9,806.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298.22 : 15,586.27 = 7,108.78 : x
  2. Step 2: Convert to fraction form
    11,298.22/15,586.27 = 7,108.78/x
  3. Step 3: Cross multiply
    11,298.22x = 15,586.27 × 7,108.78
  4. Step 4: Simplify right side
    11,298.22x = 110,799,364.45
  5. Step 5: Solve for x
    x = 110,799,364.45/11,298.22
  6. Step 6: Final answer
    x = 9,806.80

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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.