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Finding the Fourth Proportional to 10,706.03, 14,774.01 and 5,926.17

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Solution

The fourth proportional to 10,706.03, 14,774.01 and 5,926.17 is: 8,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.03 : 14,774.01 = 5,926.17 : x
  2. Step 2: Convert to fraction form
    10,706.03/14,774.01 = 5,926.17/x
  3. Step 3: Cross multiply
    10,706.03x = 14,774.01 × 5,926.17
  4. Step 4: Simplify right side
    10,706.03x = 87,553,294.84
  5. Step 5: Solve for x
    x = 87,553,294.84/10,706.03
  6. Step 6: Final answer
    x = 8,177.94

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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.