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Finding the Fourth Proportional to 10,034.32, 13,823.20 and 8,440.99

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Solution

The fourth proportional to 10,034.32, 13,823.20 and 8,440.99 is: 11,628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.32 : 13,823.20 = 8,440.99 : x
  2. Step 2: Convert to fraction form
    10,034.32/13,823.20 = 8,440.99/x
  3. Step 3: Cross multiply
    10,034.32x = 13,823.20 × 8,440.99
  4. Step 4: Simplify right side
    10,034.32x = 116,681,492.97
  5. Step 5: Solve for x
    x = 116,681,492.97/10,034.32
  6. Step 6: Final answer
    x = 11,628.24

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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.