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Finding the Fourth Proportional to 5,562, 8,293.86 and 5,160.24

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Solution

The fourth proportional to 5,562, 8,293.86 and 5,160.24 is: 7,694.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562 : 8,293.86 = 5,160.24 : x
  2. Step 2: Convert to fraction form
    5,562/8,293.86 = 5,160.24/x
  3. Step 3: Cross multiply
    5,562x = 8,293.86 × 5,160.24
  4. Step 4: Simplify right side
    5,562x = 42,798,308.13
  5. Step 5: Solve for x
    x = 42,798,308.13/5,562
  6. Step 6: Final answer
    x = 7,694.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.