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Finding the Fourth Proportional to 10,448.33, 14,417.66 and 5,971.14

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Solution

The fourth proportional to 10,448.33, 14,417.66 and 5,971.14 is: 8,239.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.33 : 14,417.66 = 5,971.14 : x
  2. Step 2: Convert to fraction form
    10,448.33/14,417.66 = 5,971.14/x
  3. Step 3: Cross multiply
    10,448.33x = 14,417.66 × 5,971.14
  4. Step 4: Simplify right side
    10,448.33x = 86,089,881.26
  5. Step 5: Solve for x
    x = 86,089,881.26/10,448.33
  6. Step 6: Final answer
    x = 8,239.59

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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.