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Finding the Fourth Proportional to 6,957.52, 10,434.68 and 2,026

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Solution

The fourth proportional to 6,957.52, 10,434.68 and 2,026 is: 3,038.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.52 : 10,434.68 = 2,026 : x
  2. Step 2: Convert to fraction form
    6,957.52/10,434.68 = 2,026/x
  3. Step 3: Cross multiply
    6,957.52x = 10,434.68 × 2,026
  4. Step 4: Simplify right side
    6,957.52x = 21,140,661.68
  5. Step 5: Solve for x
    x = 21,140,661.68/6,957.52
  6. Step 6: Final answer
    x = 3,038.53

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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.