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Finding the Fourth Proportional to 10,695.93, 16,032.96 and 4,119.54

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Solution

The fourth proportional to 10,695.93, 16,032.96 and 4,119.54 is: 6,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.93 : 16,032.96 = 4,119.54 : x
  2. Step 2: Convert to fraction form
    10,695.93/16,032.96 = 4,119.54/x
  3. Step 3: Cross multiply
    10,695.93x = 16,032.96 × 4,119.54
  4. Step 4: Simplify right side
    10,695.93x = 66,048,420.04
  5. Step 5: Solve for x
    x = 66,048,420.04/10,695.93
  6. Step 6: Final answer
    x = 6,175.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.