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Finding the Fourth Proportional to 11,330.51, 15,634.36 and 6,549.53

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Solution

The fourth proportional to 11,330.51, 15,634.36 and 6,549.53 is: 9,037.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,330.51 : 15,634.36 = 6,549.53 : x
  2. Step 2: Convert to fraction form
    11,330.51/15,634.36 = 6,549.53/x
  3. Step 3: Cross multiply
    11,330.51x = 15,634.36 × 6,549.53
  4. Step 4: Simplify right side
    11,330.51x = 102,397,709.85
  5. Step 5: Solve for x
    x = 102,397,709.85/11,330.51
  6. Step 6: Final answer
    x = 9,037.34

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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.