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Finding the Fourth Proportional to 10,833.60, 16,250.40 and 6,737.60

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Solution

The fourth proportional to 10,833.60, 16,250.40 and 6,737.60 is: 10,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.60 : 16,250.40 = 6,737.60 : x
  2. Step 2: Convert to fraction form
    10,833.60/16,250.40 = 6,737.60/x
  3. Step 3: Cross multiply
    10,833.60x = 16,250.40 × 6,737.60
  4. Step 4: Simplify right side
    10,833.60x = 109,488,695.04
  5. Step 5: Solve for x
    x = 109,488,695.04/10,833.60
  6. Step 6: Final answer
    x = 10,106.40

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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.