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Finding the Fourth Proportional to 10,700.82, 16,046.10 and 6,259.77

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Solution

The fourth proportional to 10,700.82, 16,046.10 and 6,259.77 is: 9,386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.82 : 16,046.10 = 6,259.77 : x
  2. Step 2: Convert to fraction form
    10,700.82/16,046.10 = 6,259.77/x
  3. Step 3: Cross multiply
    10,700.82x = 16,046.10 × 6,259.77
  4. Step 4: Simplify right side
    10,700.82x = 100,444,895.40
  5. Step 5: Solve for x
    x = 100,444,895.40/10,700.82
  6. Step 6: Final answer
    x = 9,386.65

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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.