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Finding the Fourth Proportional to 7,148.64, 10,714.96 and 3,203.13

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Solution

The fourth proportional to 7,148.64, 10,714.96 and 3,203.13 is: 4,801.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.64 : 10,714.96 = 3,203.13 : x
  2. Step 2: Convert to fraction form
    7,148.64/10,714.96 = 3,203.13/x
  3. Step 3: Cross multiply
    7,148.64x = 10,714.96 × 3,203.13
  4. Step 4: Simplify right side
    7,148.64x = 34,321,409.82
  5. Step 5: Solve for x
    x = 34,321,409.82/7,148.64
  6. Step 6: Final answer
    x = 4,801.11

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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.