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Finding the Fourth Proportional to 10,001.86, 15,012.21 and 5,075.03

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Solution

The fourth proportional to 10,001.86, 15,012.21 and 5,075.03 is: 7,617.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.86 : 15,012.21 = 5,075.03 : x
  2. Step 2: Convert to fraction form
    10,001.86/15,012.21 = 5,075.03/x
  3. Step 3: Cross multiply
    10,001.86x = 15,012.21 × 5,075.03
  4. Step 4: Simplify right side
    10,001.86x = 76,187,390.74
  5. Step 5: Solve for x
    x = 76,187,390.74/10,001.86
  6. Step 6: Final answer
    x = 7,617.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.