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Finding the Fourth Proportional to 10,054.44, 13,877.94 and 6,075.78

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Solution

The fourth proportional to 10,054.44, 13,877.94 and 6,075.78 is: 8,386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.44 : 13,877.94 = 6,075.78 : x
  2. Step 2: Convert to fraction form
    10,054.44/13,877.94 = 6,075.78/x
  3. Step 3: Cross multiply
    10,054.44x = 13,877.94 × 6,075.78
  4. Step 4: Simplify right side
    10,054.44x = 84,319,310.29
  5. Step 5: Solve for x
    x = 84,319,310.29/10,054.44
  6. Step 6: Final answer
    x = 8,386.28

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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.