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Finding the Fourth Proportional to 11,164.48, 15,403.70 and 6,918.66

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Solution

The fourth proportional to 11,164.48, 15,403.70 and 6,918.66 is: 9,545.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.48 : 15,403.70 = 6,918.66 : x
  2. Step 2: Convert to fraction form
    11,164.48/15,403.70 = 6,918.66/x
  3. Step 3: Cross multiply
    11,164.48x = 15,403.70 × 6,918.66
  4. Step 4: Simplify right side
    11,164.48x = 106,572,963.04
  5. Step 5: Solve for x
    x = 106,572,963.04/11,164.48
  6. Step 6: Final answer
    x = 9,545.72

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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.