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Finding the Fourth Proportional to 10,249.95, 14,146.27 and 5,774.57

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Solution

The fourth proportional to 10,249.95, 14,146.27 and 5,774.57 is: 7,969.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.95 : 14,146.27 = 5,774.57 : x
  2. Step 2: Convert to fraction form
    10,249.95/14,146.27 = 5,774.57/x
  3. Step 3: Cross multiply
    10,249.95x = 14,146.27 × 5,774.57
  4. Step 4: Simplify right side
    10,249.95x = 81,688,541.19
  5. Step 5: Solve for x
    x = 81,688,541.19/10,249.95
  6. Step 6: Final answer
    x = 7,969.65

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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.