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Finding the Fourth Proportional to 10,264.51, 14,165.22 and 5,787.39

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Solution

The fourth proportional to 10,264.51, 14,165.22 and 5,787.39 is: 7,986.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.51 : 14,165.22 = 5,787.39 : x
  2. Step 2: Convert to fraction form
    10,264.51/14,165.22 = 5,787.39/x
  3. Step 3: Cross multiply
    10,264.51x = 14,165.22 × 5,787.39
  4. Step 4: Simplify right side
    10,264.51x = 81,979,700.11
  5. Step 5: Solve for x
    x = 81,979,700.11/10,264.51
  6. Step 6: Final answer
    x = 7,986.72

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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.