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Finding the Fourth Proportional to 7,013.76, 9,678.84 and 4,029.51

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Solution

The fourth proportional to 7,013.76, 9,678.84 and 4,029.51 is: 5,560.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.76 : 9,678.84 = 4,029.51 : x
  2. Step 2: Convert to fraction form
    7,013.76/9,678.84 = 4,029.51/x
  3. Step 3: Cross multiply
    7,013.76x = 9,678.84 × 4,029.51
  4. Step 4: Simplify right side
    7,013.76x = 39,001,026.42
  5. Step 5: Solve for x
    x = 39,001,026.42/7,013.76
  6. Step 6: Final answer
    x = 5,560.65

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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.