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Finding the Fourth Proportional to 10,599.59, 15,898.93 and 3,203.82

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Solution

The fourth proportional to 10,599.59, 15,898.93 and 3,203.82 is: 4,805.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.59 : 15,898.93 = 3,203.82 : x
  2. Step 2: Convert to fraction form
    10,599.59/15,898.93 = 3,203.82/x
  3. Step 3: Cross multiply
    10,599.59x = 15,898.93 × 3,203.82
  4. Step 4: Simplify right side
    10,599.59x = 50,937,301.90
  5. Step 5: Solve for x
    x = 50,937,301.90/10,599.59
  6. Step 6: Final answer
    x = 4,805.59

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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.