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Finding the Fourth Proportional to 10,477.60, 15,717.30 and 3,455.52

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Solution

The fourth proportional to 10,477.60, 15,717.30 and 3,455.52 is: 5,183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.60 : 15,717.30 = 3,455.52 : x
  2. Step 2: Convert to fraction form
    10,477.60/15,717.30 = 3,455.52/x
  3. Step 3: Cross multiply
    10,477.60x = 15,717.30 × 3,455.52
  4. Step 4: Simplify right side
    10,477.60x = 54,311,444.50
  5. Step 5: Solve for x
    x = 54,311,444.50/10,477.60
  6. Step 6: Final answer
    x = 5,183.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.