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Finding the Fourth Proportional to 10,311, 15,469.56 and 5,931.60

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Solution

The fourth proportional to 10,311, 15,469.56 and 5,931.60 is: 8,899.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311 : 15,469.56 = 5,931.60 : x
  2. Step 2: Convert to fraction form
    10,311/15,469.56 = 5,931.60/x
  3. Step 3: Cross multiply
    10,311x = 15,469.56 × 5,931.60
  4. Step 4: Simplify right side
    10,311x = 91,759,242.10
  5. Step 5: Solve for x
    x = 91,759,242.10/10,311
  6. Step 6: Final answer
    x = 8,899.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.