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Finding the Fourth Proportional to 8,006.53, 12,009.65 and 4,697.79

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Solution

The fourth proportional to 8,006.53, 12,009.65 and 4,697.79 is: 7,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.53 : 12,009.65 = 4,697.79 : x
  2. Step 2: Convert to fraction form
    8,006.53/12,009.65 = 4,697.79/x
  3. Step 3: Cross multiply
    8,006.53x = 12,009.65 × 4,697.79
  4. Step 4: Simplify right side
    8,006.53x = 56,418,813.67
  5. Step 5: Solve for x
    x = 56,418,813.67/8,006.53
  6. Step 6: Final answer
    x = 7,046.60

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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.