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Finding the Fourth Proportional to 10,036.46, 13,850.27 and 5,787.50

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Solution

The fourth proportional to 10,036.46, 13,850.27 and 5,787.50 is: 7,986.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.46 : 13,850.27 = 5,787.50 : x
  2. Step 2: Convert to fraction form
    10,036.46/13,850.27 = 5,787.50/x
  3. Step 3: Cross multiply
    10,036.46x = 13,850.27 × 5,787.50
  4. Step 4: Simplify right side
    10,036.46x = 80,158,437.63
  5. Step 5: Solve for x
    x = 80,158,437.63/10,036.46
  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.