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Finding the Fourth Proportional to 10,971.24, 15,109.92 and 9,478.68

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Solution

The fourth proportional to 10,971.24, 15,109.92 and 9,478.68 is: 13,054.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.24 : 15,109.92 = 9,478.68 : x
  2. Step 2: Convert to fraction form
    10,971.24/15,109.92 = 9,478.68/x
  3. Step 3: Cross multiply
    10,971.24x = 15,109.92 × 9,478.68
  4. Step 4: Simplify right side
    10,971.24x = 143,222,096.51
  5. Step 5: Solve for x
    x = 143,222,096.51/10,971.24
  6. Step 6: Final answer
    x = 13,054.32

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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.