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Finding the Fourth Proportional to 6,670.35, 10,002.69 and 2,972.16

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Solution

The fourth proportional to 6,670.35, 10,002.69 and 2,972.16 is: 4,456.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.35 : 10,002.69 = 2,972.16 : x
  2. Step 2: Convert to fraction form
    6,670.35/10,002.69 = 2,972.16/x
  3. Step 3: Cross multiply
    6,670.35x = 10,002.69 × 2,972.16
  4. Step 4: Simplify right side
    6,670.35x = 29,729,595.11
  5. Step 5: Solve for x
    x = 29,729,595.11/6,670.35
  6. Step 6: Final answer
    x = 4,456.98

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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.