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Finding the Fourth Proportional to 10,299.49, 15,412.33 and 8,917.60

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Solution

The fourth proportional to 10,299.49, 15,412.33 and 8,917.60 is: 13,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.49 : 15,412.33 = 8,917.60 : x
  2. Step 2: Convert to fraction form
    10,299.49/15,412.33 = 8,917.60/x
  3. Step 3: Cross multiply
    10,299.49x = 15,412.33 × 8,917.60
  4. Step 4: Simplify right side
    10,299.49x = 137,440,994.01
  5. Step 5: Solve for x
    x = 137,440,994.01/10,299.49
  6. Step 6: Final answer
    x = 13,344.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.