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Finding the Fourth Proportional to 10,818.92, 14,938.02 and 6,992.82

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Solution

The fourth proportional to 10,818.92, 14,938.02 and 6,992.82 is: 9,655.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,818.92 : 14,938.02 = 6,992.82 : x
  2. Step 2: Convert to fraction form
    10,818.92/14,938.02 = 6,992.82/x
  3. Step 3: Cross multiply
    10,818.92x = 14,938.02 × 6,992.82
  4. Step 4: Simplify right side
    10,818.92x = 104,458,894.95
  5. Step 5: Solve for x
    x = 104,458,894.95/10,818.92
  6. Step 6: Final answer
    x = 9,655.21

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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.