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Finding the Fourth Proportional to 11,076, 15,285.14 and 6,295.19

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Solution

The fourth proportional to 11,076, 15,285.14 and 6,295.19 is: 8,687.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,076 : 15,285.14 = 6,295.19 : x
  2. Step 2: Convert to fraction form
    11,076/15,285.14 = 6,295.19/x
  3. Step 3: Cross multiply
    11,076x = 15,285.14 × 6,295.19
  4. Step 4: Simplify right side
    11,076x = 96,222,829.00
  5. Step 5: Solve for x
    x = 96,222,829.00/11,076
  6. Step 6: Final answer
    x = 8,687.51

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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.