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Finding the Fourth Proportional to 10,534.86, 15,802.29 and 2,744.46

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Solution

The fourth proportional to 10,534.86, 15,802.29 and 2,744.46 is: 4,116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.86 : 15,802.29 = 2,744.46 : x
  2. Step 2: Convert to fraction form
    10,534.86/15,802.29 = 2,744.46/x
  3. Step 3: Cross multiply
    10,534.86x = 15,802.29 × 2,744.46
  4. Step 4: Simplify right side
    10,534.86x = 43,368,752.81
  5. Step 5: Solve for x
    x = 43,368,752.81/10,534.86
  6. Step 6: Final answer
    x = 4,116.69

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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.