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Finding the Fourth Proportional to 10,716.17, 14,773.08 and 7,878.53

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Solution

The fourth proportional to 10,716.17, 14,773.08 and 7,878.53 is: 10,861.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.17 : 14,773.08 = 7,878.53 : x
  2. Step 2: Convert to fraction form
    10,716.17/14,773.08 = 7,878.53/x
  3. Step 3: Cross multiply
    10,716.17x = 14,773.08 × 7,878.53
  4. Step 4: Simplify right side
    10,716.17x = 116,390,153.97
  5. Step 5: Solve for x
    x = 116,390,153.97/10,716.17
  6. Step 6: Final answer
    x = 10,861.17

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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.