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Finding the Fourth Proportional to 10,075.60, 13,888.14 and 6,844.42

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Solution

The fourth proportional to 10,075.60, 13,888.14 and 6,844.42 is: 9,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.60 : 13,888.14 = 6,844.42 : x
  2. Step 2: Convert to fraction form
    10,075.60/13,888.14 = 6,844.42/x
  3. Step 3: Cross multiply
    10,075.60x = 13,888.14 × 6,844.42
  4. Step 4: Simplify right side
    10,075.60x = 95,056,263.18
  5. Step 5: Solve for x
    x = 95,056,263.18/10,075.60
  6. Step 6: Final answer
    x = 9,434.30

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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.