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Finding the Fourth Proportional to 10,806.16, 14,912.76 and 6,026.08

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Solution

The fourth proportional to 10,806.16, 14,912.76 and 6,026.08 is: 8,316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.16 : 14,912.76 = 6,026.08 : x
  2. Step 2: Convert to fraction form
    10,806.16/14,912.76 = 6,026.08/x
  3. Step 3: Cross multiply
    10,806.16x = 14,912.76 × 6,026.08
  4. Step 4: Simplify right side
    10,806.16x = 89,865,484.78
  5. Step 5: Solve for x
    x = 89,865,484.78/10,806.16
  6. Step 6: Final answer
    x = 8,316.13

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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.