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Finding the Fourth Proportional to 10,495.48, 15,743.22 and 2,703.68

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Solution

The fourth proportional to 10,495.48, 15,743.22 and 2,703.68 is: 4,055.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.48 : 15,743.22 = 2,703.68 : x
  2. Step 2: Convert to fraction form
    10,495.48/15,743.22 = 2,703.68/x
  3. Step 3: Cross multiply
    10,495.48x = 15,743.22 × 2,703.68
  4. Step 4: Simplify right side
    10,495.48x = 42,564,629.05
  5. Step 5: Solve for x
    x = 42,564,629.05/10,495.48
  6. Step 6: Final answer
    x = 4,055.52

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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.