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Finding the Fourth Proportional to 10,537.92, 15,818 and 4,698.56

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Solution

The fourth proportional to 10,537.92, 15,818 and 4,698.56 is: 7,052.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.92 : 15,818 = 4,698.56 : x
  2. Step 2: Convert to fraction form
    10,537.92/15,818 = 4,698.56/x
  3. Step 3: Cross multiply
    10,537.92x = 15,818 × 4,698.56
  4. Step 4: Simplify right side
    10,537.92x = 74,321,822.08
  5. Step 5: Solve for x
    x = 74,321,822.08/10,537.92
  6. Step 6: Final answer
    x = 7,052.80

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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.