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Finding the Fourth Proportional to 10,257.81, 15,391.94 and 4,710.57

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Solution

The fourth proportional to 10,257.81, 15,391.94 and 4,710.57 is: 7,068.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.81 : 15,391.94 = 4,710.57 : x
  2. Step 2: Convert to fraction form
    10,257.81/15,391.94 = 4,710.57/x
  3. Step 3: Cross multiply
    10,257.81x = 15,391.94 × 4,710.57
  4. Step 4: Simplify right side
    10,257.81x = 72,504,787.25
  5. Step 5: Solve for x
    x = 72,504,787.25/10,257.81
  6. Step 6: Final answer
    x = 7,068.25

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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.