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Finding the Fourth Proportional to 10,135.92, 13,995.48 and 7,774.32

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Solution

The fourth proportional to 10,135.92, 13,995.48 and 7,774.32 is: 10,734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.92 : 13,995.48 = 7,774.32 : x
  2. Step 2: Convert to fraction form
    10,135.92/13,995.48 = 7,774.32/x
  3. Step 3: Cross multiply
    10,135.92x = 13,995.48 × 7,774.32
  4. Step 4: Simplify right side
    10,135.92x = 108,805,340.07
  5. Step 5: Solve for x
    x = 108,805,340.07/10,135.92
  6. Step 6: Final answer
    x = 10,734.63

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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.