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Finding the Fourth Proportional to 6,412.24, 8,848.88 and 3,617.76

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Solution

The fourth proportional to 6,412.24, 8,848.88 and 3,617.76 is: 4,992.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.24 : 8,848.88 = 3,617.76 : x
  2. Step 2: Convert to fraction form
    6,412.24/8,848.88 = 3,617.76/x
  3. Step 3: Cross multiply
    6,412.24x = 8,848.88 × 3,617.76
  4. Step 4: Simplify right side
    6,412.24x = 32,013,124.11
  5. Step 5: Solve for x
    x = 32,013,124.11/6,412.24
  6. Step 6: Final answer
    x = 4,992.50

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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.