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Finding the Fourth Proportional to 10,119.92, 13,967.19 and 7,475.00

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Solution

The fourth proportional to 10,119.92, 13,967.19 and 7,475.00 is: 10,316.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119.92 : 13,967.19 = 7,475.00 : x
  2. Step 2: Convert to fraction form
    10,119.92/13,967.19 = 7,475.00/x
  3. Step 3: Cross multiply
    10,119.92x = 13,967.19 × 7,475.00
  4. Step 4: Simplify right side
    10,119.92x = 104,404,675.41
  5. Step 5: Solve for x
    x = 104,404,675.41/10,119.92
  6. Step 6: Final answer
    x = 10,316.75

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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.