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Finding the Fourth Proportional to 10,798.68, 14,901.76 and 6,082.84

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Solution

The fourth proportional to 10,798.68, 14,901.76 and 6,082.84 is: 8,394.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.68 : 14,901.76 = 6,082.84 : x
  2. Step 2: Convert to fraction form
    10,798.68/14,901.76 = 6,082.84/x
  3. Step 3: Cross multiply
    10,798.68x = 14,901.76 × 6,082.84
  4. Step 4: Simplify right side
    10,798.68x = 90,645,021.80
  5. Step 5: Solve for x
    x = 90,645,021.80/10,798.68
  6. Step 6: Final answer
    x = 8,394.08

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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.