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Finding the Fourth Proportional to 10,315.49, 14,209.86 and 8,798.09

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Solution

The fourth proportional to 10,315.49, 14,209.86 and 8,798.09 is: 12,119.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.49 : 14,209.86 = 8,798.09 : x
  2. Step 2: Convert to fraction form
    10,315.49/14,209.86 = 8,798.09/x
  3. Step 3: Cross multiply
    10,315.49x = 14,209.86 × 8,798.09
  4. Step 4: Simplify right side
    10,315.49x = 125,019,627.17
  5. Step 5: Solve for x
    x = 125,019,627.17/10,315.49
  6. Step 6: Final answer
    x = 12,119.60

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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.