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Finding the Fourth Proportional to 10,465.62, 15,693.92 and 3,886.98

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Solution

The fourth proportional to 10,465.62, 15,693.92 and 3,886.98 is: 5,828.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.62 : 15,693.92 = 3,886.98 : x
  2. Step 2: Convert to fraction form
    10,465.62/15,693.92 = 3,886.98/x
  3. Step 3: Cross multiply
    10,465.62x = 15,693.92 × 3,886.98
  4. Step 4: Simplify right side
    10,465.62x = 61,001,933.73
  5. Step 5: Solve for x
    x = 61,001,933.73/10,465.62
  6. Step 6: Final answer
    x = 5,828.79

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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.