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Finding the Fourth Proportional to 11,370.17, 15,683.69 and 7,827.23

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Solution

The fourth proportional to 11,370.17, 15,683.69 and 7,827.23 is: 10,796.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,370.17 : 15,683.69 = 7,827.23 : x
  2. Step 2: Convert to fraction form
    11,370.17/15,683.69 = 7,827.23/x
  3. Step 3: Cross multiply
    11,370.17x = 15,683.69 × 7,827.23
  4. Step 4: Simplify right side
    11,370.17x = 122,759,731.32
  5. Step 5: Solve for x
    x = 122,759,731.32/11,370.17
  6. Step 6: Final answer
    x = 10,796.65

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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.