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Finding the Fourth Proportional to 5,356.80, 8,075.36 and 5,000.00

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Solution

The fourth proportional to 5,356.80, 8,075.36 and 5,000.00 is: 7,537.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.80 : 8,075.36 = 5,000.00 : x
  2. Step 2: Convert to fraction form
    5,356.80/8,075.36 = 5,000.00/x
  3. Step 3: Cross multiply
    5,356.80x = 8,075.36 × 5,000.00
  4. Step 4: Simplify right side
    5,356.80x = 40,376,734.62
  5. Step 5: Solve for x
    x = 40,376,734.62/5,356.80
  6. Step 6: Final answer
    x = 7,537.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.