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Finding the Fourth Proportional to 10,376.78, 14,320 and 5,661.16

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Solution

The fourth proportional to 10,376.78, 14,320 and 5,661.16 is: 7,812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376.78 : 14,320 = 5,661.16 : x
  2. Step 2: Convert to fraction form
    10,376.78/14,320 = 5,661.16/x
  3. Step 3: Cross multiply
    10,376.78x = 14,320 × 5,661.16
  4. Step 4: Simplify right side
    10,376.78x = 81,067,811.20
  5. Step 5: Solve for x
    x = 81,067,811.20/10,376.78
  6. Step 6: Final answer
    x = 7,812.42

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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.