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Finding the Fourth Proportional to 10,129.80, 15,186.06 and 3,886.50

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Solution

The fourth proportional to 10,129.80, 15,186.06 and 3,886.50 is: 5,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.80 : 15,186.06 = 3,886.50 : x
  2. Step 2: Convert to fraction form
    10,129.80/15,186.06 = 3,886.50/x
  3. Step 3: Cross multiply
    10,129.80x = 15,186.06 × 3,886.50
  4. Step 4: Simplify right side
    10,129.80x = 59,020,622.19
  5. Step 5: Solve for x
    x = 59,020,622.19/10,129.80
  6. Step 6: Final answer
    x = 5,826.44

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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.