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Finding the Fourth Proportional to 10,356.51, 15,534.69 and 3,782.60

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Solution

The fourth proportional to 10,356.51, 15,534.69 and 3,782.60 is: 5,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.51 : 15,534.69 = 3,782.60 : x
  2. Step 2: Convert to fraction form
    10,356.51/15,534.69 = 3,782.60/x
  3. Step 3: Cross multiply
    10,356.51x = 15,534.69 × 3,782.60
  4. Step 4: Simplify right side
    10,356.51x = 58,761,484.79
  5. Step 5: Solve for x
    x = 58,761,484.79/10,356.51
  6. Step 6: Final answer
    x = 5,673.87

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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.