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Finding the Fourth Proportional to 7,675.58, 11,496.35 and 6,207.86

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Solution

The fourth proportional to 7,675.58, 11,496.35 and 6,207.86 is: 9,298.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.58 : 11,496.35 = 6,207.86 : x
  2. Step 2: Convert to fraction form
    7,675.58/11,496.35 = 6,207.86/x
  3. Step 3: Cross multiply
    7,675.58x = 11,496.35 × 6,207.86
  4. Step 4: Simplify right side
    7,675.58x = 71,367,642.79
  5. Step 5: Solve for x
    x = 71,367,642.79/7,675.58
  6. Step 6: Final answer
    x = 9,298.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.