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Finding the Fourth Proportional to 10,833.70, 16,250.55 and 5,290.60

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Solution

The fourth proportional to 10,833.70, 16,250.55 and 5,290.60 is: 7,935.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.70 : 16,250.55 = 5,290.60 : x
  2. Step 2: Convert to fraction form
    10,833.70/16,250.55 = 5,290.60/x
  3. Step 3: Cross multiply
    10,833.70x = 16,250.55 × 5,290.60
  4. Step 4: Simplify right side
    10,833.70x = 85,975,159.83
  5. Step 5: Solve for x
    x = 85,975,159.83/10,833.70
  6. Step 6: Final answer
    x = 7,935.90

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Why These Related Problems?

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