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Finding the Fourth Proportional to 10,608.47, 14,636.65 and 6,833.82

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Solution

The fourth proportional to 10,608.47, 14,636.65 and 6,833.82 is: 9,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608.47 : 14,636.65 = 6,833.82 : x
  2. Step 2: Convert to fraction form
    10,608.47/14,636.65 = 6,833.82/x
  3. Step 3: Cross multiply
    10,608.47x = 14,636.65 × 6,833.82
  4. Step 4: Simplify right side
    10,608.47x = 100,024,199.79
  5. Step 5: Solve for x
    x = 100,024,199.79/10,608.47
  6. Step 6: Final answer
    x = 9,428.71

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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.