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Finding the Fourth Proportional to 7,548.48, 11,315.72 and 2,867.08

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Solution

The fourth proportional to 7,548.48, 11,315.72 and 2,867.08 is: 4,297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.48 : 11,315.72 = 2,867.08 : x
  2. Step 2: Convert to fraction form
    7,548.48/11,315.72 = 2,867.08/x
  3. Step 3: Cross multiply
    7,548.48x = 11,315.72 × 2,867.08
  4. Step 4: Simplify right side
    7,548.48x = 32,443,074.50
  5. Step 5: Solve for x
    x = 32,443,074.50/7,548.48
  6. Step 6: Final answer
    x = 4,297.96

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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.