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Finding the Fourth Proportional to 11,261.10, 16,911.12 and 6,904.14

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Solution

The fourth proportional to 11,261.10, 16,911.12 and 6,904.14 is: 10,368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,261.10 : 16,911.12 = 6,904.14 : x
  2. Step 2: Convert to fraction form
    11,261.10/16,911.12 = 6,904.14/x
  3. Step 3: Cross multiply
    11,261.10x = 16,911.12 × 6,904.14
  4. Step 4: Simplify right side
    11,261.10x = 116,756,740.04
  5. Step 5: Solve for x
    x = 116,756,740.04/11,261.10
  6. Step 6: Final answer
    x = 10,368.15

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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.