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Finding the Fourth Proportional to 8,895.84, 13,326.48 and 5,002.80

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Solution

The fourth proportional to 8,895.84, 13,326.48 and 5,002.80 is: 7,494.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,895.84 : 13,326.48 = 5,002.80 : x
  2. Step 2: Convert to fraction form
    8,895.84/13,326.48 = 5,002.80/x
  3. Step 3: Cross multiply
    8,895.84x = 13,326.48 × 5,002.80
  4. Step 4: Simplify right side
    8,895.84x = 66,669,714.14
  5. Step 5: Solve for x
    x = 66,669,714.14/8,895.84
  6. Step 6: Final answer
    x = 7,494.48

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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.