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Finding the Fourth Proportional to 10,716.10, 14,778.35 and 7,352.98

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Solution

The fourth proportional to 10,716.10, 14,778.35 and 7,352.98 is: 10,140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.10 : 14,778.35 = 7,352.98 : x
  2. Step 2: Convert to fraction form
    10,716.10/14,778.35 = 7,352.98/x
  3. Step 3: Cross multiply
    10,716.10x = 14,778.35 × 7,352.98
  4. Step 4: Simplify right side
    10,716.10x = 108,664,865.85
  5. Step 5: Solve for x
    x = 108,664,865.85/10,716.10
  6. Step 6: Final answer
    x = 10,140.34

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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.