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Finding the Fourth Proportional to 8,275.34, 12,416.37 and 5,317.10

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Solution

The fourth proportional to 8,275.34, 12,416.37 and 5,317.10 is: 7,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.34 : 12,416.37 = 5,317.10 : x
  2. Step 2: Convert to fraction form
    8,275.34/12,416.37 = 5,317.10/x
  3. Step 3: Cross multiply
    8,275.34x = 12,416.37 × 5,317.10
  4. Step 4: Simplify right side
    8,275.34x = 66,019,080.93
  5. Step 5: Solve for x
    x = 66,019,080.93/8,275.34
  6. Step 6: Final answer
    x = 7,977.81

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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.