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Finding the Fourth Proportional to 10,585.62, 14,609.22 and 5,870.79

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Solution

The fourth proportional to 10,585.62, 14,609.22 and 5,870.79 is: 8,102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.62 : 14,609.22 = 5,870.79 : x
  2. Step 2: Convert to fraction form
    10,585.62/14,609.22 = 5,870.79/x
  3. Step 3: Cross multiply
    10,585.62x = 14,609.22 × 5,870.79
  4. Step 4: Simplify right side
    10,585.62x = 85,767,662.68
  5. Step 5: Solve for x
    x = 85,767,662.68/10,585.62
  6. Step 6: Final answer
    x = 8,102.28

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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.