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Finding the Fourth Proportional to 10,597.96, 15,891.54 and 4,019.14

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Solution

The fourth proportional to 10,597.96, 15,891.54 and 4,019.14 is: 6,026.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.96 : 15,891.54 = 4,019.14 : x
  2. Step 2: Convert to fraction form
    10,597.96/15,891.54 = 4,019.14/x
  3. Step 3: Cross multiply
    10,597.96x = 15,891.54 × 4,019.14
  4. Step 4: Simplify right side
    10,597.96x = 63,870,324.08
  5. Step 5: Solve for x
    x = 63,870,324.08/10,597.96
  6. Step 6: Final answer
    x = 6,026.66

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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.