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Finding the Fourth Proportional to 8,006.24, 11,988.41 and 5,653.53

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Solution

The fourth proportional to 8,006.24, 11,988.41 and 5,653.53 is: 8,465.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.24 : 11,988.41 = 5,653.53 : x
  2. Step 2: Convert to fraction form
    8,006.24/11,988.41 = 5,653.53/x
  3. Step 3: Cross multiply
    8,006.24x = 11,988.41 × 5,653.53
  4. Step 4: Simplify right side
    8,006.24x = 67,776,807.32
  5. Step 5: Solve for x
    x = 67,776,807.32/8,006.24
  6. Step 6: Final answer
    x = 8,465.50

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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.