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Finding the Fourth Proportional to 10,313.69, 14,232.95 and 5,597.98

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Solution

The fourth proportional to 10,313.69, 14,232.95 and 5,597.98 is: 7,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.69 : 14,232.95 = 5,597.98 : x
  2. Step 2: Convert to fraction form
    10,313.69/14,232.95 = 5,597.98/x
  3. Step 3: Cross multiply
    10,313.69x = 14,232.95 × 5,597.98
  4. Step 4: Simplify right side
    10,313.69x = 79,675,705.87
  5. Step 5: Solve for x
    x = 79,675,705.87/10,313.69
  6. Step 6: Final answer
    x = 7,725.24

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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.