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Finding the Fourth Proportional to 8,023.76, 11,075.83 and 7,182.95

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Solution

The fourth proportional to 8,023.76, 11,075.83 and 7,182.95 is: 9,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.76 : 11,075.83 = 7,182.95 : x
  2. Step 2: Convert to fraction form
    8,023.76/11,075.83 = 7,182.95/x
  3. Step 3: Cross multiply
    8,023.76x = 11,075.83 × 7,182.95
  4. Step 4: Simplify right side
    8,023.76x = 79,557,143.11
  5. Step 5: Solve for x
    x = 79,557,143.11/8,023.76
  6. Step 6: Final answer
    x = 9,915.20

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1.5x scale

Why These Related Problems?

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