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Finding the Fourth Proportional to 10,390.68, 14,338.89 and 6,141.69

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Solution

The fourth proportional to 10,390.68, 14,338.89 and 6,141.69 is: 8,475.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.68 : 14,338.89 = 6,141.69 : x
  2. Step 2: Convert to fraction form
    10,390.68/14,338.89 = 6,141.69/x
  3. Step 3: Cross multiply
    10,390.68x = 14,338.89 × 6,141.69
  4. Step 4: Simplify right side
    10,390.68x = 88,065,017.32
  5. Step 5: Solve for x
    x = 88,065,017.32/10,390.68
  6. Step 6: Final answer
    x = 8,475.39

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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.