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Finding the Fourth Proportional to 11,284.18, 15,571.74 and 6,248

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Solution

The fourth proportional to 11,284.18, 15,571.74 and 6,248 is: 8,622.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284.18 : 15,571.74 = 6,248 : x
  2. Step 2: Convert to fraction form
    11,284.18/15,571.74 = 6,248/x
  3. Step 3: Cross multiply
    11,284.18x = 15,571.74 × 6,248
  4. Step 4: Simplify right side
    11,284.18x = 97,292,231.52
  5. Step 5: Solve for x
    x = 97,292,231.52/11,284.18
  6. Step 6: Final answer
    x = 8,622.00

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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.