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Finding the Fourth Proportional to 10,597.86, 15,892.98 and 3,200.40

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Solution

The fourth proportional to 10,597.86, 15,892.98 and 3,200.40 is: 4,799.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.86 : 15,892.98 = 3,200.40 : x
  2. Step 2: Convert to fraction form
    10,597.86/15,892.98 = 3,200.40/x
  3. Step 3: Cross multiply
    10,597.86x = 15,892.98 × 3,200.40
  4. Step 4: Simplify right side
    10,597.86x = 50,863,893.19
  5. Step 5: Solve for x
    x = 50,863,893.19/10,597.86
  6. Step 6: Final answer
    x = 4,799.45

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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.