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Finding the Fourth Proportional to 10,462.66, 15,686.07 and 5,199.82

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Solution

The fourth proportional to 10,462.66, 15,686.07 and 5,199.82 is: 7,795.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.66 : 15,686.07 = 5,199.82 : x
  2. Step 2: Convert to fraction form
    10,462.66/15,686.07 = 5,199.82/x
  3. Step 3: Cross multiply
    10,462.66x = 15,686.07 × 5,199.82
  4. Step 4: Simplify right side
    10,462.66x = 81,564,740.51
  5. Step 5: Solve for x
    x = 81,564,740.51/10,462.66
  6. Step 6: Final answer
    x = 7,795.79

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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.