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Finding the Fourth Proportional to 11,242.13, 15,499.71 and 9,218.08

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Solution

The fourth proportional to 11,242.13, 15,499.71 and 9,218.08 is: 12,709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.13 : 15,499.71 = 9,218.08 : x
  2. Step 2: Convert to fraction form
    11,242.13/15,499.71 = 9,218.08/x
  3. Step 3: Cross multiply
    11,242.13x = 15,499.71 × 9,218.08
  4. Step 4: Simplify right side
    11,242.13x = 142,877,586.13
  5. Step 5: Solve for x
    x = 142,877,586.13/11,242.13
  6. Step 6: Final answer
    x = 12,709.13

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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.