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Finding the Fourth Proportional to 10,756.98, 14,845.26 and 7,165.74

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Solution

The fourth proportional to 10,756.98, 14,845.26 and 7,165.74 is: 9,889.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.98 : 14,845.26 = 7,165.74 : x
  2. Step 2: Convert to fraction form
    10,756.98/14,845.26 = 7,165.74/x
  3. Step 3: Cross multiply
    10,756.98x = 14,845.26 × 7,165.74
  4. Step 4: Simplify right side
    10,756.98x = 106,377,273.39
  5. Step 5: Solve for x
    x = 106,377,273.39/10,756.98
  6. Step 6: Final answer
    x = 9,889.14

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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.