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Finding the Fourth Proportional to 7,585.67, 10,463.11 and 6,589.22

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Solution

The fourth proportional to 7,585.67, 10,463.11 and 6,589.22 is: 9,088.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.67 : 10,463.11 = 6,589.22 : x
  2. Step 2: Convert to fraction form
    7,585.67/10,463.11 = 6,589.22/x
  3. Step 3: Cross multiply
    7,585.67x = 10,463.11 × 6,589.22
  4. Step 4: Simplify right side
    7,585.67x = 68,943,664.89
  5. Step 5: Solve for x
    x = 68,943,664.89/7,585.67
  6. Step 6: Final answer
    x = 9,088.67

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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.