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Finding the Fourth Proportional to 10,534.64, 15,803.52 and 3,512.36

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Solution

The fourth proportional to 10,534.64, 15,803.52 and 3,512.36 is: 5,269.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.64 : 15,803.52 = 3,512.36 : x
  2. Step 2: Convert to fraction form
    10,534.64/15,803.52 = 3,512.36/x
  3. Step 3: Cross multiply
    10,534.64x = 15,803.52 × 3,512.36
  4. Step 4: Simplify right side
    10,534.64x = 55,507,651.51
  5. Step 5: Solve for x
    x = 55,507,651.51/10,534.64
  6. Step 6: Final answer
    x = 5,269.06

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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.