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Finding the Fourth Proportional to 10,257.74, 15,374.67 and 4,711.67

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Solution

The fourth proportional to 10,257.74, 15,374.67 and 4,711.67 is: 7,062.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.74 : 15,374.67 = 4,711.67 : x
  2. Step 2: Convert to fraction form
    10,257.74/15,374.67 = 4,711.67/x
  3. Step 3: Cross multiply
    10,257.74x = 15,374.67 × 4,711.67
  4. Step 4: Simplify right side
    10,257.74x = 72,440,371.40
  5. Step 5: Solve for x
    x = 72,440,371.40/10,257.74
  6. Step 6: Final answer
    x = 7,062.02

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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.