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Finding the Fourth Proportional to 8,194.04, 11,303.54 and 5,542.40

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Solution

The fourth proportional to 8,194.04, 11,303.54 and 5,542.40 is: 7,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.04 : 11,303.54 = 5,542.40 : x
  2. Step 2: Convert to fraction form
    8,194.04/11,303.54 = 5,542.40/x
  3. Step 3: Cross multiply
    8,194.04x = 11,303.54 × 5,542.40
  4. Step 4: Simplify right side
    8,194.04x = 62,648,740.10
  5. Step 5: Solve for x
    x = 62,648,740.10/8,194.04
  6. Step 6: Final answer
    x = 7,645.65

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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.