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Finding the Fourth Proportional to 10,670.25, 15,994.30 and 4,433.66

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Solution

The fourth proportional to 10,670.25, 15,994.30 and 4,433.66 is: 6,645.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.25 : 15,994.30 = 4,433.66 : x
  2. Step 2: Convert to fraction form
    10,670.25/15,994.30 = 4,433.66/x
  3. Step 3: Cross multiply
    10,670.25x = 15,994.30 × 4,433.66
  4. Step 4: Simplify right side
    10,670.25x = 70,913,288.14
  5. Step 5: Solve for x
    x = 70,913,288.14/10,670.25
  6. Step 6: Final answer
    x = 6,645.89

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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.