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Finding the Fourth Proportional to 11,153.42, 15,383.65 and 9,472.16

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Solution

The fourth proportional to 11,153.42, 15,383.65 and 9,472.16 is: 13,064.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,153.42 : 15,383.65 = 9,472.16 : x
  2. Step 2: Convert to fraction form
    11,153.42/15,383.65 = 9,472.16/x
  3. Step 3: Cross multiply
    11,153.42x = 15,383.65 × 9,472.16
  4. Step 4: Simplify right side
    11,153.42x = 145,716,394.18
  5. Step 5: Solve for x
    x = 145,716,394.18/11,153.42
  6. Step 6: Final answer
    x = 13,064.73

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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.