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Finding the Fourth Proportional to 11,707.12, 17,562.30 and 4,780

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Solution

The fourth proportional to 11,707.12, 17,562.30 and 4,780 is: 7,170.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.12 : 17,562.30 = 4,780 : x
  2. Step 2: Convert to fraction form
    11,707.12/17,562.30 = 4,780/x
  3. Step 3: Cross multiply
    11,707.12x = 17,562.30 × 4,780
  4. Step 4: Simplify right side
    11,707.12x = 83,947,794
  5. Step 5: Solve for x
    x = 83,947,794/11,707.12
  6. Step 6: Final answer
    x = 7,170.66

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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.