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Finding the Fourth Proportional to 5,443.14, 7,505.11 and 5,039.63

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Solution

The fourth proportional to 5,443.14, 7,505.11 and 5,039.63 is: 6,948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.14 : 7,505.11 = 5,039.63 : x
  2. Step 2: Convert to fraction form
    5,443.14/7,505.11 = 5,039.63/x
  3. Step 3: Cross multiply
    5,443.14x = 7,505.11 × 5,039.63
  4. Step 4: Simplify right side
    5,443.14x = 37,822,977.51
  5. Step 5: Solve for x
    x = 37,822,977.51/5,443.14
  6. Step 6: Final answer
    x = 6,948.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.