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Finding the Fourth Proportional to 7,029.72, 10,547.42 and 2,648.43

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Solution

The fourth proportional to 7,029.72, 10,547.42 and 2,648.43 is: 3,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.72 : 10,547.42 = 2,648.43 : x
  2. Step 2: Convert to fraction form
    7,029.72/10,547.42 = 2,648.43/x
  3. Step 3: Cross multiply
    7,029.72x = 10,547.42 × 2,648.43
  4. Step 4: Simplify right side
    7,029.72x = 27,934,090.31
  5. Step 5: Solve for x
    x = 27,934,090.31/7,029.72
  6. Step 6: Final answer
    x = 3,973.71

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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.