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Finding the Fourth Proportional to 10,586.70, 14,606.76 and 6,608.46

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Solution

The fourth proportional to 10,586.70, 14,606.76 and 6,608.46 is: 9,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.70 : 14,606.76 = 6,608.46 : x
  2. Step 2: Convert to fraction form
    10,586.70/14,606.76 = 6,608.46/x
  3. Step 3: Cross multiply
    10,586.70x = 14,606.76 × 6,608.46
  4. Step 4: Simplify right side
    10,586.70x = 96,528,189.19
  5. Step 5: Solve for x
    x = 96,528,189.19/10,586.70
  6. Step 6: Final answer
    x = 9,117.87

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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.