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Finding the Fourth Proportional to 11,403.12, 17,105.76 and 4,476

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Solution

The fourth proportional to 11,403.12, 17,105.76 and 4,476 is: 6,714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,403.12 : 17,105.76 = 4,476 : x
  2. Step 2: Convert to fraction form
    11,403.12/17,105.76 = 4,476/x
  3. Step 3: Cross multiply
    11,403.12x = 17,105.76 × 4,476
  4. Step 4: Simplify right side
    11,403.12x = 76,565,381.76
  5. Step 5: Solve for x
    x = 76,565,381.76/11,403.12
  6. Step 6: Final answer
    x = 6,714.42

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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.