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Finding the Fourth Proportional to 10,895.72, 15,015.66 and 7,746.44

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Solution

The fourth proportional to 10,895.72, 15,015.66 and 7,746.44 is: 10,675.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,895.72 : 15,015.66 = 7,746.44 : x
  2. Step 2: Convert to fraction form
    10,895.72/15,015.66 = 7,746.44/x
  3. Step 3: Cross multiply
    10,895.72x = 15,015.66 × 7,746.44
  4. Step 4: Simplify right side
    10,895.72x = 116,317,909.25
  5. Step 5: Solve for x
    x = 116,317,909.25/10,895.72
  6. Step 6: Final answer
    x = 10,675.56

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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.