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Finding the Fourth Proportional to 7,700.02, 11,539.37 and 4,406.14

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Solution

The fourth proportional to 7,700.02, 11,539.37 and 4,406.14 is: 6,603.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.02 : 11,539.37 = 4,406.14 : x
  2. Step 2: Convert to fraction form
    7,700.02/11,539.37 = 4,406.14/x
  3. Step 3: Cross multiply
    7,700.02x = 11,539.37 × 4,406.14
  4. Step 4: Simplify right side
    7,700.02x = 50,844,079.73
  5. Step 5: Solve for x
    x = 50,844,079.73/7,700.02
  6. Step 6: Final answer
    x = 6,603.11

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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.