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Finding the Fourth Proportional to 7,002.90, 10,496.03 and 3,714.30

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Solution

The fourth proportional to 7,002.90, 10,496.03 and 3,714.30 is: 5,567.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.90 : 10,496.03 = 3,714.30 : x
  2. Step 2: Convert to fraction form
    7,002.90/10,496.03 = 3,714.30/x
  3. Step 3: Cross multiply
    7,002.90x = 10,496.03 × 3,714.30
  4. Step 4: Simplify right side
    7,002.90x = 38,985,385.66
  5. Step 5: Solve for x
    x = 38,985,385.66/7,002.90
  6. Step 6: Final answer
    x = 5,567.03

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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.