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Finding the Fourth Proportional to 10,488.64, 15,735.68 and 3,914.88

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Solution

The fourth proportional to 10,488.64, 15,735.68 and 3,914.88 is: 5,873.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.64 : 15,735.68 = 3,914.88 : x
  2. Step 2: Convert to fraction form
    10,488.64/15,735.68 = 3,914.88/x
  3. Step 3: Cross multiply
    10,488.64x = 15,735.68 × 3,914.88
  4. Step 4: Simplify right side
    10,488.64x = 61,603,298.92
  5. Step 5: Solve for x
    x = 61,603,298.92/10,488.64
  6. Step 6: Final answer
    x = 5,873.34

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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.