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Finding the Fourth Proportional to 10,586.81, 14,610.19 and 5,806.46

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Solution

The fourth proportional to 10,586.81, 14,610.19 and 5,806.46 is: 8,013.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.81 : 14,610.19 = 5,806.46 : x
  2. Step 2: Convert to fraction form
    10,586.81/14,610.19 = 5,806.46/x
  3. Step 3: Cross multiply
    10,586.81x = 14,610.19 × 5,806.46
  4. Step 4: Simplify right side
    10,586.81x = 84,833,483.83
  5. Step 5: Solve for x
    x = 84,833,483.83/10,586.81
  6. Step 6: Final answer
    x = 8,013.13

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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.