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Finding the Fourth Proportional to 7,017.84, 10,514.61 and 4,549.77

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Solution

The fourth proportional to 7,017.84, 10,514.61 and 4,549.77 is: 6,816.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,017.84 : 10,514.61 = 4,549.77 : x
  2. Step 2: Convert to fraction form
    7,017.84/10,514.61 = 4,549.77/x
  3. Step 3: Cross multiply
    7,017.84x = 10,514.61 × 4,549.77
  4. Step 4: Simplify right side
    7,017.84x = 47,839,057.14
  5. Step 5: Solve for x
    x = 47,839,057.14/7,017.84
  6. Step 6: Final answer
    x = 6,816.78

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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.