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Finding the Fourth Proportional to 7,823.32, 11,737.68 and 4,898.14

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Solution

The fourth proportional to 7,823.32, 11,737.68 and 4,898.14 is: 7,348.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.32 : 11,737.68 = 4,898.14 : x
  2. Step 2: Convert to fraction form
    7,823.32/11,737.68 = 4,898.14/x
  3. Step 3: Cross multiply
    7,823.32x = 11,737.68 × 4,898.14
  4. Step 4: Simplify right side
    7,823.32x = 57,492,799.92
  5. Step 5: Solve for x
    x = 57,492,799.92/7,823.32
  6. Step 6: Final answer
    x = 7,348.90

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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.