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Finding the Fourth Proportional to 10,927.24, 15,071.46 and 8,564.68

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Solution

The fourth proportional to 10,927.24, 15,071.46 and 8,564.68 is: 11,812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,927.24 : 15,071.46 = 8,564.68 : x
  2. Step 2: Convert to fraction form
    10,927.24/15,071.46 = 8,564.68/x
  3. Step 3: Cross multiply
    10,927.24x = 15,071.46 × 8,564.68
  4. Step 4: Simplify right side
    10,927.24x = 129,082,232.03
  5. Step 5: Solve for x
    x = 129,082,232.03/10,927.24
  6. Step 6: Final answer
    x = 11,812.89

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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.