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Finding the Fourth Proportional to 10,705.76, 14,774.36 and 5,989.94

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Solution

The fourth proportional to 10,705.76, 14,774.36 and 5,989.94 is: 8,266.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.76 : 14,774.36 = 5,989.94 : x
  2. Step 2: Convert to fraction form
    10,705.76/14,774.36 = 5,989.94/x
  3. Step 3: Cross multiply
    10,705.76x = 14,774.36 × 5,989.94
  4. Step 4: Simplify right side
    10,705.76x = 88,497,529.94
  5. Step 5: Solve for x
    x = 88,497,529.94/10,705.76
  6. Step 6: Final answer
    x = 8,266.35

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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.