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Finding the Fourth Proportional to 10,526.40, 15,794.40 and 5,594.88

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Solution

The fourth proportional to 10,526.40, 15,794.40 and 5,594.88 is: 8,394.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.40 : 15,794.40 = 5,594.88 : x
  2. Step 2: Convert to fraction form
    10,526.40/15,794.40 = 5,594.88/x
  3. Step 3: Cross multiply
    10,526.40x = 15,794.40 × 5,594.88
  4. Step 4: Simplify right side
    10,526.40x = 88,367,772.67
  5. Step 5: Solve for x
    x = 88,367,772.67/10,526.40
  6. Step 6: Final answer
    x = 8,394.87

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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.