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Finding the Fourth Proportional to 10,064.85, 13,874.25 and 7,075.95

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Solution

The fourth proportional to 10,064.85, 13,874.25 and 7,075.95 is: 9,754.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.85 : 13,874.25 = 7,075.95 : x
  2. Step 2: Convert to fraction form
    10,064.85/13,874.25 = 7,075.95/x
  3. Step 3: Cross multiply
    10,064.85x = 13,874.25 × 7,075.95
  4. Step 4: Simplify right side
    10,064.85x = 98,173,499.29
  5. Step 5: Solve for x
    x = 98,173,499.29/10,064.85
  6. Step 6: Final answer
    x = 9,754.09

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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.