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Finding the Fourth Proportional to 7,648.47, 11,471.33 and 2,026.18

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Solution

The fourth proportional to 7,648.47, 11,471.33 and 2,026.18 is: 3,038.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.47 : 11,471.33 = 2,026.18 : x
  2. Step 2: Convert to fraction form
    7,648.47/11,471.33 = 2,026.18/x
  3. Step 3: Cross multiply
    7,648.47x = 11,471.33 × 2,026.18
  4. Step 4: Simplify right side
    7,648.47x = 23,242,979.42
  5. Step 5: Solve for x
    x = 23,242,979.42/7,648.47
  6. Step 6: Final answer
    x = 3,038.91

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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.