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Finding the Fourth Proportional to 8,023.70, 11,070.44 and 5,506.40

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Solution

The fourth proportional to 8,023.70, 11,070.44 and 5,506.40 is: 7,597.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.70 : 11,070.44 = 5,506.40 : x
  2. Step 2: Convert to fraction form
    8,023.70/11,070.44 = 5,506.40/x
  3. Step 3: Cross multiply
    8,023.70x = 11,070.44 × 5,506.40
  4. Step 4: Simplify right side
    8,023.70x = 60,958,270.82
  5. Step 5: Solve for x
    x = 60,958,270.82/8,023.70
  6. Step 6: Final answer
    x = 7,597.28

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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.