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Finding the Fourth Proportional to 8,075.84, 11,153.09 and 5,564.43

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Solution

The fourth proportional to 8,075.84, 11,153.09 and 5,564.43 is: 7,684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075.84 : 11,153.09 = 5,564.43 : x
  2. Step 2: Convert to fraction form
    8,075.84/11,153.09 = 5,564.43/x
  3. Step 3: Cross multiply
    8,075.84x = 11,153.09 × 5,564.43
  4. Step 4: Simplify right side
    8,075.84x = 62,060,602.50
  5. Step 5: Solve for x
    x = 62,060,602.50/8,075.84
  6. Step 6: Final answer
    x = 7,684.73

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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.