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Finding the Fourth Proportional to 10,484.90, 14,468.82 and 5,769.17

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Solution

The fourth proportional to 10,484.90, 14,468.82 and 5,769.17 is: 7,961.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.90 : 14,468.82 = 5,769.17 : x
  2. Step 2: Convert to fraction form
    10,484.90/14,468.82 = 5,769.17/x
  3. Step 3: Cross multiply
    10,484.90x = 14,468.82 × 5,769.17
  4. Step 4: Simplify right side
    10,484.90x = 83,473,009.94
  5. Step 5: Solve for x
    x = 83,473,009.94/10,484.90
  6. Step 6: Final answer
    x = 7,961.26

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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.