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Finding the Fourth Proportional to 7,565.65, 11,356.64 and 6,401.07

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Solution

The fourth proportional to 7,565.65, 11,356.64 and 6,401.07 is: 9,608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.65 : 11,356.64 = 6,401.07 : x
  2. Step 2: Convert to fraction form
    7,565.65/11,356.64 = 6,401.07/x
  3. Step 3: Cross multiply
    7,565.65x = 11,356.64 × 6,401.07
  4. Step 4: Simplify right side
    7,565.65x = 72,694,647.60
  5. Step 5: Solve for x
    x = 72,694,647.60/7,565.65
  6. Step 6: Final answer
    x = 9,608.51

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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.