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Finding the Fourth Proportional to 10,078.02, 13,907.03 and 5,601.50

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Solution

The fourth proportional to 10,078.02, 13,907.03 and 5,601.50 is: 7,729.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.02 : 13,907.03 = 5,601.50 : x
  2. Step 2: Convert to fraction form
    10,078.02/13,907.03 = 5,601.50/x
  3. Step 3: Cross multiply
    10,078.02x = 13,907.03 × 5,601.50
  4. Step 4: Simplify right side
    10,078.02x = 77,900,131.00
  5. Step 5: Solve for x
    x = 77,900,131.00/10,078.02
  6. Step 6: Final answer
    x = 7,729.71

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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.