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Finding the Fourth Proportional to 8,357.30, 12,511.35 and 6,175.76

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Solution

The fourth proportional to 8,357.30, 12,511.35 and 6,175.76 is: 9,245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.30 : 12,511.35 = 6,175.76 : x
  2. Step 2: Convert to fraction form
    8,357.30/12,511.35 = 6,175.76/x
  3. Step 3: Cross multiply
    8,357.30x = 12,511.35 × 6,175.76
  4. Step 4: Simplify right side
    8,357.30x = 77,267,094.88
  5. Step 5: Solve for x
    x = 77,267,094.88/8,357.30
  6. Step 6: Final answer
    x = 9,245.46

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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.