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Finding the Fourth Proportional to 11,314.02, 15,614.08 and 6,278.70

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Solution

The fourth proportional to 11,314.02, 15,614.08 and 6,278.70 is: 8,665.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.02 : 15,614.08 = 6,278.70 : x
  2. Step 2: Convert to fraction form
    11,314.02/15,614.08 = 6,278.70/x
  3. Step 3: Cross multiply
    11,314.02x = 15,614.08 × 6,278.70
  4. Step 4: Simplify right side
    11,314.02x = 98,036,124.10
  5. Step 5: Solve for x
    x = 98,036,124.10/11,314.02
  6. Step 6: Final answer
    x = 8,665.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.