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Finding the Fourth Proportional to 8,462.31, 12,696.72 and 3,530.64

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Solution

The fourth proportional to 8,462.31, 12,696.72 and 3,530.64 is: 5,297.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.31 : 12,696.72 = 3,530.64 : x
  2. Step 2: Convert to fraction form
    8,462.31/12,696.72 = 3,530.64/x
  3. Step 3: Cross multiply
    8,462.31x = 12,696.72 × 3,530.64
  4. Step 4: Simplify right side
    8,462.31x = 44,827,547.50
  5. Step 5: Solve for x
    x = 44,827,547.50/8,462.31
  6. Step 6: Final answer
    x = 5,297.32

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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.