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Finding the Fourth Proportional to 10,592.58, 15,894 and 4,357.20

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Solution

The fourth proportional to 10,592.58, 15,894 and 4,357.20 is: 6,537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.58 : 15,894 = 4,357.20 : x
  2. Step 2: Convert to fraction form
    10,592.58/15,894 = 4,357.20/x
  3. Step 3: Cross multiply
    10,592.58x = 15,894 × 4,357.20
  4. Step 4: Simplify right side
    10,592.58x = 69,253,336.80
  5. Step 5: Solve for x
    x = 69,253,336.80/10,592.58
  6. Step 6: Final answer
    x = 6,537.91

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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.