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Finding the Fourth Proportional to 10,594.68, 15,886.84 and 3,197.76

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Solution

The fourth proportional to 10,594.68, 15,886.84 and 3,197.76 is: 4,795.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.68 : 15,886.84 = 3,197.76 : x
  2. Step 2: Convert to fraction form
    10,594.68/15,886.84 = 3,197.76/x
  3. Step 3: Cross multiply
    10,594.68x = 15,886.84 × 3,197.76
  4. Step 4: Simplify right side
    10,594.68x = 50,802,301.48
  5. Step 5: Solve for x
    x = 50,802,301.48/10,594.68
  6. Step 6: Final answer
    x = 4,795.08

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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.