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Finding the Fourth Proportional to 10,896.58, 15,019.30 and 7,705.76

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Solution

The fourth proportional to 10,896.58, 15,019.30 and 7,705.76 is: 10,621.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.58 : 15,019.30 = 7,705.76 : x
  2. Step 2: Convert to fraction form
    10,896.58/15,019.30 = 7,705.76/x
  3. Step 3: Cross multiply
    10,896.58x = 15,019.30 × 7,705.76
  4. Step 4: Simplify right side
    10,896.58x = 115,735,121.17
  5. Step 5: Solve for x
    x = 115,735,121.17/10,896.58
  6. Step 6: Final answer
    x = 10,621.23

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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.