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Finding the Fourth Proportional to 10,534.70, 15,802.95 and 2,743.50

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Solution

The fourth proportional to 10,534.70, 15,802.95 and 2,743.50 is: 4,115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.70 : 15,802.95 = 2,743.50 : x
  2. Step 2: Convert to fraction form
    10,534.70/15,802.95 = 2,743.50/x
  3. Step 3: Cross multiply
    10,534.70x = 15,802.95 × 2,743.50
  4. Step 4: Simplify right side
    10,534.70x = 43,355,393.33
  5. Step 5: Solve for x
    x = 43,355,393.33/10,534.70
  6. Step 6: Final answer
    x = 4,115.49

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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.