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Finding the Fourth Proportional to 6,784.84, 10,176.04 and 2,402.32

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Solution

The fourth proportional to 6,784.84, 10,176.04 and 2,402.32 is: 3,603.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.84 : 10,176.04 = 2,402.32 : x
  2. Step 2: Convert to fraction form
    6,784.84/10,176.04 = 2,402.32/x
  3. Step 3: Cross multiply
    6,784.84x = 10,176.04 × 2,402.32
  4. Step 4: Simplify right side
    6,784.84x = 24,446,104.41
  5. Step 5: Solve for x
    x = 24,446,104.41/6,784.84
  6. Step 6: Final answer
    x = 3,603.05

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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.