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Finding the Fourth Proportional to 11,407.02, 17,117.40 and 4,017

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Solution

The fourth proportional to 11,407.02, 17,117.40 and 4,017 is: 6,027.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.02 : 17,117.40 = 4,017 : x
  2. Step 2: Convert to fraction form
    11,407.02/17,117.40 = 4,017/x
  3. Step 3: Cross multiply
    11,407.02x = 17,117.40 × 4,017
  4. Step 4: Simplify right side
    11,407.02x = 68,760,595.80
  5. Step 5: Solve for x
    x = 68,760,595.80/11,407.02
  6. Step 6: Final answer
    x = 6,027.92

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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.