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Finding the Fourth Proportional to 7,106.09, 10,659.29 and 2,945.12

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Solution

The fourth proportional to 7,106.09, 10,659.29 and 2,945.12 is: 4,417.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.09 : 10,659.29 = 2,945.12 : x
  2. Step 2: Convert to fraction form
    7,106.09/10,659.29 = 2,945.12/x
  3. Step 3: Cross multiply
    7,106.09x = 10,659.29 × 2,945.12
  4. Step 4: Simplify right side
    7,106.09x = 31,392,820.14
  5. Step 5: Solve for x
    x = 31,392,820.14/7,106.09
  6. Step 6: Final answer
    x = 4,417.74

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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.