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Finding the Fourth Proportional to 10,337.60, 14,265.72 and 5,622

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Solution

The fourth proportional to 10,337.60, 14,265.72 and 5,622 is: 7,758.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.60 : 14,265.72 = 5,622 : x
  2. Step 2: Convert to fraction form
    10,337.60/14,265.72 = 5,622/x
  3. Step 3: Cross multiply
    10,337.60x = 14,265.72 × 5,622
  4. Step 4: Simplify right side
    10,337.60x = 80,201,877.84
  5. Step 5: Solve for x
    x = 80,201,877.84/10,337.60
  6. Step 6: Final answer
    x = 7,758.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.