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Finding the Fourth Proportional to 11,499.36, 15,851.13 and 9,617.16

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Solution

The fourth proportional to 11,499.36, 15,851.13 and 9,617.16 is: 13,256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499.36 : 15,851.13 = 9,617.16 : x
  2. Step 2: Convert to fraction form
    11,499.36/15,851.13 = 9,617.16/x
  3. Step 3: Cross multiply
    11,499.36x = 15,851.13 × 9,617.16
  4. Step 4: Simplify right side
    11,499.36x = 152,442,853.39
  5. Step 5: Solve for x
    x = 152,442,853.39/11,499.36
  6. Step 6: Final answer
    x = 13,256.64

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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.