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Finding the Fourth Proportional to 8,490.61, 11,728.86 and 8,075.43

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Solution

The fourth proportional to 8,490.61, 11,728.86 and 8,075.43 is: 11,155.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.61 : 11,728.86 = 8,075.43 : x
  2. Step 2: Convert to fraction form
    8,490.61/11,728.86 = 8,075.43/x
  3. Step 3: Cross multiply
    8,490.61x = 11,728.86 × 8,075.43
  4. Step 4: Simplify right side
    8,490.61x = 94,715,587.91
  5. Step 5: Solve for x
    x = 94,715,587.91/8,490.61
  6. Step 6: Final answer
    x = 11,155.33

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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.