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Finding the Fourth Proportional to 10,054.69, 13,875.84 and 6,075.03

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Solution

The fourth proportional to 10,054.69, 13,875.84 and 6,075.03 is: 8,383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.69 : 13,875.84 = 6,075.03 : x
  2. Step 2: Convert to fraction form
    10,054.69/13,875.84 = 6,075.03/x
  3. Step 3: Cross multiply
    10,054.69x = 13,875.84 × 6,075.03
  4. Step 4: Simplify right side
    10,054.69x = 84,296,149.15
  5. Step 5: Solve for x
    x = 84,296,149.15/10,054.69
  6. Step 6: Final answer
    x = 8,383.77

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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.