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Finding the Fourth Proportional to 10,407.84, 15,597.33 and 5,722.20

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Solution

The fourth proportional to 10,407.84, 15,597.33 and 5,722.20 is: 8,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.84 : 15,597.33 = 5,722.20 : x
  2. Step 2: Convert to fraction form
    10,407.84/15,597.33 = 5,722.20/x
  3. Step 3: Cross multiply
    10,407.84x = 15,597.33 × 5,722.20
  4. Step 4: Simplify right side
    10,407.84x = 89,251,041.73
  5. Step 5: Solve for x
    x = 89,251,041.73/10,407.84
  6. Step 6: Final answer
    x = 8,575.37

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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.