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Finding the Fourth Proportional to 11,448.23, 15,798.12 and 6,412.20

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Solution

The fourth proportional to 11,448.23, 15,798.12 and 6,412.20 is: 8,848.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.23 : 15,798.12 = 6,412.20 : x
  2. Step 2: Convert to fraction form
    11,448.23/15,798.12 = 6,412.20/x
  3. Step 3: Cross multiply
    11,448.23x = 15,798.12 × 6,412.20
  4. Step 4: Simplify right side
    11,448.23x = 101,300,705.06
  5. Step 5: Solve for x
    x = 101,300,705.06/11,448.23
  6. Step 6: Final answer
    x = 8,848.59

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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.