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Finding the Fourth Proportional to 8,958.16, 12,357.96 and 7,714

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Solution

The fourth proportional to 8,958.16, 12,357.96 and 7,714 is: 10,641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,958.16 : 12,357.96 = 7,714 : x
  2. Step 2: Convert to fraction form
    8,958.16/12,357.96 = 7,714/x
  3. Step 3: Cross multiply
    8,958.16x = 12,357.96 × 7,714
  4. Step 4: Simplify right side
    8,958.16x = 95,329,303.44
  5. Step 5: Solve for x
    x = 95,329,303.44/8,958.16
  6. Step 6: Final answer
    x = 10,641.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.