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Finding the Fourth Proportional to 11,447.75, 15,798.15 and 6,412.34

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Solution

The fourth proportional to 11,447.75, 15,798.15 and 6,412.34 is: 8,849.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.75 : 15,798.15 = 6,412.34 : x
  2. Step 2: Convert to fraction form
    11,447.75/15,798.15 = 6,412.34/x
  3. Step 3: Cross multiply
    11,447.75x = 15,798.15 × 6,412.34
  4. Step 4: Simplify right side
    11,447.75x = 101,303,030.18
  5. Step 5: Solve for x
    x = 101,303,030.18/11,447.75
  6. Step 6: Final answer
    x = 8,849.17

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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.