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Finding the Fourth Proportional to 11,502.97, 15,852.14 and 9,909.12

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Solution

The fourth proportional to 11,502.97, 15,852.14 and 9,909.12 is: 13,655.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.97 : 15,852.14 = 9,909.12 : x
  2. Step 2: Convert to fraction form
    11,502.97/15,852.14 = 9,909.12/x
  3. Step 3: Cross multiply
    11,502.97x = 15,852.14 × 9,909.12
  4. Step 4: Simplify right side
    11,502.97x = 157,080,824.09
  5. Step 5: Solve for x
    x = 157,080,824.09/11,502.97
  6. Step 6: Final answer
    x = 13,655.67

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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.