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Finding the Fourth Proportional to 10,316.57, 14,237.16 and 5,601.16

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Solution

The fourth proportional to 10,316.57, 14,237.16 and 5,601.16 is: 7,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316.57 : 14,237.16 = 5,601.16 : x
  2. Step 2: Convert to fraction form
    10,316.57/14,237.16 = 5,601.16/x
  3. Step 3: Cross multiply
    10,316.57x = 14,237.16 × 5,601.16
  4. Step 4: Simplify right side
    10,316.57x = 79,744,611.11
  5. Step 5: Solve for x
    x = 79,744,611.11/10,316.57
  6. Step 6: Final answer
    x = 7,729.76

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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.