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Finding the Fourth Proportional to 8,490.36, 11,728.51 and 8,075.17

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Solution

The fourth proportional to 8,490.36, 11,728.51 and 8,075.17 is: 11,154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.36 : 11,728.51 = 8,075.17 : x
  2. Step 2: Convert to fraction form
    8,490.36/11,728.51 = 8,075.17/x
  3. Step 3: Cross multiply
    8,490.36x = 11,728.51 × 8,075.17
  4. Step 4: Simplify right side
    8,490.36x = 94,709,712.10
  5. Step 5: Solve for x
    x = 94,709,712.10/8,490.36
  6. Step 6: Final answer
    x = 11,154.97

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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.