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Finding the Fourth Proportional to 10,230.76, 14,115.03 and 8,339.08

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Solution

The fourth proportional to 10,230.76, 14,115.03 and 8,339.08 is: 11,505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.76 : 14,115.03 = 8,339.08 : x
  2. Step 2: Convert to fraction form
    10,230.76/14,115.03 = 8,339.08/x
  3. Step 3: Cross multiply
    10,230.76x = 14,115.03 × 8,339.08
  4. Step 4: Simplify right side
    10,230.76x = 117,706,364.37
  5. Step 5: Solve for x
    x = 117,706,364.37/10,230.76
  6. Step 6: Final answer
    x = 11,505.14

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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.