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Finding the Fourth Proportional to 8,023.60, 11,075.60 and 7,182.78

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Solution

The fourth proportional to 8,023.60, 11,075.60 and 7,182.78 is: 9,914.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.60 : 11,075.60 = 7,182.78 : x
  2. Step 2: Convert to fraction form
    8,023.60/11,075.60 = 7,182.78/x
  3. Step 3: Cross multiply
    8,023.60x = 11,075.60 × 7,182.78
  4. Step 4: Simplify right side
    8,023.60x = 79,553,598.17
  5. Step 5: Solve for x
    x = 79,553,598.17/8,023.60
  6. Step 6: Final answer
    x = 9,914.95

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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.