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Finding the Fourth Proportional to 11,500.61, 15,870.38 and 7,031.84

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Solution

The fourth proportional to 11,500.61, 15,870.38 and 7,031.84 is: 9,703.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.61 : 15,870.38 = 7,031.84 : x
  2. Step 2: Convert to fraction form
    11,500.61/15,870.38 = 7,031.84/x
  3. Step 3: Cross multiply
    11,500.61x = 15,870.38 × 7,031.84
  4. Step 4: Simplify right side
    11,500.61x = 111,597,858.39
  5. Step 5: Solve for x
    x = 111,597,858.39/11,500.61
  6. Step 6: Final answer
    x = 9,703.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.