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Finding the Fourth Proportional to 11,466.56, 15,825.78 and 6,749.93

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Solution

The fourth proportional to 11,466.56, 15,825.78 and 6,749.93 is: 9,316.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.56 : 15,825.78 = 6,749.93 : x
  2. Step 2: Convert to fraction form
    11,466.56/15,825.78 = 6,749.93/x
  3. Step 3: Cross multiply
    11,466.56x = 15,825.78 × 6,749.93
  4. Step 4: Simplify right side
    11,466.56x = 106,822,946.76
  5. Step 5: Solve for x
    x = 106,822,946.76/11,466.56
  6. Step 6: Final answer
    x = 9,316.04

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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.