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Finding the Fourth Proportional to 6,681.84, 10,023.03 and 2,001.93

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Solution

The fourth proportional to 6,681.84, 10,023.03 and 2,001.93 is: 3,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.84 : 10,023.03 = 2,001.93 : x
  2. Step 2: Convert to fraction form
    6,681.84/10,023.03 = 2,001.93/x
  3. Step 3: Cross multiply
    6,681.84x = 10,023.03 × 2,001.93
  4. Step 4: Simplify right side
    6,681.84x = 20,065,404.45
  5. Step 5: Solve for x
    x = 20,065,404.45/6,681.84
  6. Step 6: Final answer
    x = 3,002.98

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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.