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Finding the Fourth Proportional to 10,495.38, 15,743.06 and 3,473.50

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Solution

The fourth proportional to 10,495.38, 15,743.06 and 3,473.50 is: 5,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.38 : 15,743.06 = 3,473.50 : x
  2. Step 2: Convert to fraction form
    10,495.38/15,743.06 = 3,473.50/x
  3. Step 3: Cross multiply
    10,495.38x = 15,743.06 × 3,473.50
  4. Step 4: Simplify right side
    10,495.38x = 54,683,518.91
  5. Step 5: Solve for x
    x = 54,683,518.91/10,495.38
  6. Step 6: Final answer
    x = 5,210.25

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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.