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Finding the Fourth Proportional to 10,594.58, 15,897 and 4,359.20

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Solution

The fourth proportional to 10,594.58, 15,897 and 4,359.20 is: 6,540.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.58 : 15,897 = 4,359.20 : x
  2. Step 2: Convert to fraction form
    10,594.58/15,897 = 4,359.20/x
  3. Step 3: Cross multiply
    10,594.58x = 15,897 × 4,359.20
  4. Step 4: Simplify right side
    10,594.58x = 69,298,202.40
  5. Step 5: Solve for x
    x = 69,298,202.40/10,594.58
  6. Step 6: Final answer
    x = 6,540.91

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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.