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Finding the Fourth Proportional to 11,447.16, 15,798.98 and 7,859.18

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Solution

The fourth proportional to 11,447.16, 15,798.98 and 7,859.18 is: 10,846.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.16 : 15,798.98 = 7,859.18 : x
  2. Step 2: Convert to fraction form
    11,447.16/15,798.98 = 7,859.18/x
  3. Step 3: Cross multiply
    11,447.16x = 15,798.98 × 7,859.18
  4. Step 4: Simplify right side
    11,447.16x = 124,166,909.35
  5. Step 5: Solve for x
    x = 124,166,909.35/11,447.16
  6. Step 6: Final answer
    x = 10,846.97

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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.