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Finding the Fourth Proportional to 7,737.40, 10,667.28 and 6,149.32

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Solution

The fourth proportional to 7,737.40, 10,667.28 and 6,149.32 is: 8,477.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.40 : 10,667.28 = 6,149.32 : x
  2. Step 2: Convert to fraction form
    7,737.40/10,667.28 = 6,149.32/x
  3. Step 3: Cross multiply
    7,737.40x = 10,667.28 × 6,149.32
  4. Step 4: Simplify right side
    7,737.40x = 65,596,518.25
  5. Step 5: Solve for x
    x = 65,596,518.25/7,737.40
  6. Step 6: Final answer
    x = 8,477.85

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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.