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Finding the Fourth Proportional to 10,829.74, 16,220.00 and 8,475.07

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Solution

The fourth proportional to 10,829.74, 16,220.00 and 8,475.07 is: 12,693.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.74 : 16,220.00 = 8,475.07 : x
  2. Step 2: Convert to fraction form
    10,829.74/16,220.00 = 8,475.07/x
  3. Step 3: Cross multiply
    10,829.74x = 16,220.00 × 8,475.07
  4. Step 4: Simplify right side
    10,829.74x = 137,465,616.04
  5. Step 5: Solve for x
    x = 137,465,616.04/10,829.74
  6. Step 6: Final answer
    x = 12,693.35

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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.