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Finding the Fourth Proportional to 10,533.66, 15,810.21 and 5,343.18

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Solution

The fourth proportional to 10,533.66, 15,810.21 and 5,343.18 is: 8,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.66 : 15,810.21 = 5,343.18 : x
  2. Step 2: Convert to fraction form
    10,533.66/15,810.21 = 5,343.18/x
  3. Step 3: Cross multiply
    10,533.66x = 15,810.21 × 5,343.18
  4. Step 4: Simplify right side
    10,533.66x = 84,476,797.87
  5. Step 5: Solve for x
    x = 84,476,797.87/10,533.66
  6. Step 6: Final answer
    x = 8,019.70

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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.