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Finding the Fourth Proportional to 10,586.67, 14,609.61 and 5,870.94

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Solution

The fourth proportional to 10,586.67, 14,609.61 and 5,870.94 is: 8,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.67 : 14,609.61 = 5,870.94 : x
  2. Step 2: Convert to fraction form
    10,586.67/14,609.61 = 5,870.94/x
  3. Step 3: Cross multiply
    10,586.67x = 14,609.61 × 5,870.94
  4. Step 4: Simplify right side
    10,586.67x = 85,772,143.73
  5. Step 5: Solve for x
    x = 85,772,143.73/10,586.67
  6. Step 6: Final answer
    x = 8,101.90

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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.