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Finding the Fourth Proportional to 7,906.29, 11,848.50 and 6,730.17

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Solution

The fourth proportional to 7,906.29, 11,848.50 and 6,730.17 is: 10,085.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.29 : 11,848.50 = 6,730.17 : x
  2. Step 2: Convert to fraction form
    7,906.29/11,848.50 = 6,730.17/x
  3. Step 3: Cross multiply
    7,906.29x = 11,848.50 × 6,730.17
  4. Step 4: Simplify right side
    7,906.29x = 79,742,419.25
  5. Step 5: Solve for x
    x = 79,742,419.25/7,906.29
  6. Step 6: Final answer
    x = 10,085.95

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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.