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Finding the Fourth Proportional to 11,705.77, 17,567.88 and 6,162.40

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Solution

The fourth proportional to 11,705.77, 17,567.88 and 6,162.40 is: 9,248.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.77 : 17,567.88 = 6,162.40 : x
  2. Step 2: Convert to fraction form
    11,705.77/17,567.88 = 6,162.40/x
  3. Step 3: Cross multiply
    11,705.77x = 17,567.88 × 6,162.40
  4. Step 4: Simplify right side
    11,705.77x = 108,260,303.71
  5. Step 5: Solve for x
    x = 108,260,303.71/11,705.77
  6. Step 6: Final answer
    x = 9,248.46

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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.