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Finding the Fourth Proportional to 8,336.40, 12,506.36 and 3,142.32

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Solution

The fourth proportional to 8,336.40, 12,506.36 and 3,142.32 is: 4,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,336.40 : 12,506.36 = 3,142.32 : x
  2. Step 2: Convert to fraction form
    8,336.40/12,506.36 = 3,142.32/x
  3. Step 3: Cross multiply
    8,336.40x = 12,506.36 × 3,142.32
  4. Step 4: Simplify right side
    8,336.40x = 39,298,985.16
  5. Step 5: Solve for x
    x = 39,298,985.16/8,336.40
  6. Step 6: Final answer
    x = 4,714.14

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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.