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Finding the Fourth Proportional to 12,064.59, 16,648.07 and 6,758.69

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Solution

The fourth proportional to 12,064.59, 16,648.07 and 6,758.69 is: 9,326.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,064.59 : 16,648.07 = 6,758.69 : x
  2. Step 2: Convert to fraction form
    12,064.59/16,648.07 = 6,758.69/x
  3. Step 3: Cross multiply
    12,064.59x = 16,648.07 × 6,758.69
  4. Step 4: Simplify right side
    12,064.59x = 112,519,027.19
  5. Step 5: Solve for x
    x = 112,519,027.19/12,064.59
  6. Step 6: Final answer
    x = 9,326.39

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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.