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Finding the Fourth Proportional to 7,579.98, 10,438.61 and 6,509.16

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Solution

The fourth proportional to 7,579.98, 10,438.61 and 6,509.16 is: 8,963.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,579.98 : 10,438.61 = 6,509.16 : x
  2. Step 2: Convert to fraction form
    7,579.98/10,438.61 = 6,509.16/x
  3. Step 3: Cross multiply
    7,579.98x = 10,438.61 × 6,509.16
  4. Step 4: Simplify right side
    7,579.98x = 67,946,550.12
  5. Step 5: Solve for x
    x = 67,946,550.12/7,579.98
  6. Step 6: Final answer
    x = 8,963.95

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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.