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Finding the Fourth Proportional to 10,663.46, 14,715.53 and 5,883.70

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Solution

The fourth proportional to 10,663.46, 14,715.53 and 5,883.70 is: 8,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.46 : 14,715.53 = 5,883.70 : x
  2. Step 2: Convert to fraction form
    10,663.46/14,715.53 = 5,883.70/x
  3. Step 3: Cross multiply
    10,663.46x = 14,715.53 × 5,883.70
  4. Step 4: Simplify right side
    10,663.46x = 86,581,817.19
  5. Step 5: Solve for x
    x = 86,581,817.19/10,663.46
  6. Step 6: Final answer
    x = 8,119.49

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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.