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Finding the Fourth Proportional to 7,033.64, 10,552.28 and 3,140.78

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Solution

The fourth proportional to 7,033.64, 10,552.28 and 3,140.78 is: 4,711.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.64 : 10,552.28 = 3,140.78 : x
  2. Step 2: Convert to fraction form
    7,033.64/10,552.28 = 3,140.78/x
  3. Step 3: Cross multiply
    7,033.64x = 10,552.28 × 3,140.78
  4. Step 4: Simplify right side
    7,033.64x = 33,142,321.51
  5. Step 5: Solve for x
    x = 33,142,321.51/7,033.64
  6. Step 6: Final answer
    x = 4,711.98

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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.