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Finding the Fourth Proportional to 8,036.86, 12,045.03 and 6,992.50

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Solution

The fourth proportional to 8,036.86, 12,045.03 and 6,992.50 is: 10,479.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,036.86 : 12,045.03 = 6,992.50 : x
  2. Step 2: Convert to fraction form
    8,036.86/12,045.03 = 6,992.50/x
  3. Step 3: Cross multiply
    8,036.86x = 12,045.03 × 6,992.50
  4. Step 4: Simplify right side
    8,036.86x = 84,224,872.28
  5. Step 5: Solve for x
    x = 84,224,872.28/8,036.86
  6. Step 6: Final answer
    x = 10,479.82

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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.