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Finding the Fourth Proportional to 11,574.64, 17,368.28 and 4,910.11

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Solution

The fourth proportional to 11,574.64, 17,368.28 and 4,910.11 is: 7,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.64 : 17,368.28 = 4,910.11 : x
  2. Step 2: Convert to fraction form
    11,574.64/17,368.28 = 4,910.11/x
  3. Step 3: Cross multiply
    11,574.64x = 17,368.28 × 4,910.11
  4. Step 4: Simplify right side
    11,574.64x = 85,280,066.19
  5. Step 5: Solve for x
    x = 85,280,066.19/11,574.64
  6. Step 6: Final answer
    x = 7,367.84

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Why These Related Problems?

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