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Finding the Fourth Proportional to 12,370.77, 17,071.68 and 6,705.52

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Solution

The fourth proportional to 12,370.77, 17,071.68 and 6,705.52 is: 9,253.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,370.77 : 17,071.68 = 6,705.52 : x
  2. Step 2: Convert to fraction form
    12,370.77/17,071.68 = 6,705.52/x
  3. Step 3: Cross multiply
    12,370.77x = 17,071.68 × 6,705.52
  4. Step 4: Simplify right side
    12,370.77x = 114,474,474.14
  5. Step 5: Solve for x
    x = 114,474,474.14/12,370.77
  6. Step 6: Final answer
    x = 9,253.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.