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Finding the Fourth Proportional to 8,307.64, 11,523.29 and 8,008.42

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Solution

The fourth proportional to 8,307.64, 11,523.29 and 8,008.42 is: 11,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.64 : 11,523.29 = 8,008.42 : x
  2. Step 2: Convert to fraction form
    8,307.64/11,523.29 = 8,008.42/x
  3. Step 3: Cross multiply
    8,307.64x = 11,523.29 × 8,008.42
  4. Step 4: Simplify right side
    8,307.64x = 92,283,277.25
  5. Step 5: Solve for x
    x = 92,283,277.25/8,307.64
  6. Step 6: Final answer
    x = 11,108.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.