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Finding the Fourth Proportional to 10,477.91, 15,717.34 and 3,458.53

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Solution

The fourth proportional to 10,477.91, 15,717.34 and 3,458.53 is: 5,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.91 : 15,717.34 = 3,458.53 : x
  2. Step 2: Convert to fraction form
    10,477.91/15,717.34 = 3,458.53/x
  3. Step 3: Cross multiply
    10,477.91x = 15,717.34 × 3,458.53
  4. Step 4: Simplify right side
    10,477.91x = 54,358,891.91
  5. Step 5: Solve for x
    x = 54,358,891.91/10,477.91
  6. Step 6: Final answer
    x = 5,187.95

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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.