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Finding the Fourth Proportional to 10,075.81, 13,900.87 and 6,245.72

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Solution

The fourth proportional to 10,075.81, 13,900.87 and 6,245.72 is: 8,616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.81 : 13,900.87 = 6,245.72 : x
  2. Step 2: Convert to fraction form
    10,075.81/13,900.87 = 6,245.72/x
  3. Step 3: Cross multiply
    10,075.81x = 13,900.87 × 6,245.72
  4. Step 4: Simplify right side
    10,075.81x = 86,820,941.78
  5. Step 5: Solve for x
    x = 86,820,941.78/10,075.81
  6. Step 6: Final answer
    x = 8,616.77

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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.