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Finding the Fourth Proportional to 8,000.40, 11,987.64 and 4,877.04

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Solution

The fourth proportional to 8,000.40, 11,987.64 and 4,877.04 is: 7,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.40 : 11,987.64 = 4,877.04 : x
  2. Step 2: Convert to fraction form
    8,000.40/11,987.64 = 4,877.04/x
  3. Step 3: Cross multiply
    8,000.40x = 11,987.64 × 4,877.04
  4. Step 4: Simplify right side
    8,000.40x = 58,464,199.79
  5. Step 5: Solve for x
    x = 58,464,199.79/8,000.40
  6. Step 6: Final answer
    x = 7,307.66

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1.5x scale

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.