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Finding the Fourth Proportional to 10,585.79, 14,608.30 and 5,805.59

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Solution

The fourth proportional to 10,585.79, 14,608.30 and 5,805.59 is: 8,011.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.79 : 14,608.30 = 5,805.59 : x
  2. Step 2: Convert to fraction form
    10,585.79/14,608.30 = 5,805.59/x
  3. Step 3: Cross multiply
    10,585.79x = 14,608.30 × 5,805.59
  4. Step 4: Simplify right side
    10,585.79x = 84,809,805.90
  5. Step 5: Solve for x
    x = 84,809,805.90/10,585.79
  6. Step 6: Final answer
    x = 8,011.67

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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.