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Finding the Fourth Proportional to 10,316.50, 14,237.01 and 5,600.77

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Solution

The fourth proportional to 10,316.50, 14,237.01 and 5,600.77 is: 7,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316.50 : 14,237.01 = 5,600.77 : x
  2. Step 2: Convert to fraction form
    10,316.50/14,237.01 = 5,600.77/x
  3. Step 3: Cross multiply
    10,316.50x = 14,237.01 × 5,600.77
  4. Step 4: Simplify right side
    10,316.50x = 79,738,218.50
  5. Step 5: Solve for x
    x = 79,738,218.50/10,316.50
  6. Step 6: Final answer
    x = 7,729.19

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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.