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Finding the Fourth Proportional to 10,078.06, 13,912.68 and 7,730.68

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Solution

The fourth proportional to 10,078.06, 13,912.68 and 7,730.68 is: 10,672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.06 : 13,912.68 = 7,730.68 : x
  2. Step 2: Convert to fraction form
    10,078.06/13,912.68 = 7,730.68/x
  3. Step 3: Cross multiply
    10,078.06x = 13,912.68 × 7,730.68
  4. Step 4: Simplify right side
    10,078.06x = 107,554,477.02
  5. Step 5: Solve for x
    x = 107,554,477.02/10,078.06
  6. Step 6: Final answer
    x = 10,672.14

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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.