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Finding the Fourth Proportional to 10,670.29, 15,994.50 and 4,094.71

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Solution

The fourth proportional to 10,670.29, 15,994.50 and 4,094.71 is: 6,137.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.29 : 15,994.50 = 4,094.71 : x
  2. Step 2: Convert to fraction form
    10,670.29/15,994.50 = 4,094.71/x
  3. Step 3: Cross multiply
    10,670.29x = 15,994.50 × 4,094.71
  4. Step 4: Simplify right side
    10,670.29x = 65,492,839.10
  5. Step 5: Solve for x
    x = 65,492,839.10/10,670.29
  6. Step 6: Final answer
    x = 6,137.87

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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.