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Finding the Fourth Proportional to 8,218.72, 11,341.92 and 4,681.92

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Solution

The fourth proportional to 8,218.72, 11,341.92 and 4,681.92 is: 6,461.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.72 : 11,341.92 = 4,681.92 : x
  2. Step 2: Convert to fraction form
    8,218.72/11,341.92 = 4,681.92/x
  3. Step 3: Cross multiply
    8,218.72x = 11,341.92 × 4,681.92
  4. Step 4: Simplify right side
    8,218.72x = 53,101,962.09
  5. Step 5: Solve for x
    x = 53,101,962.09/8,218.72
  6. Step 6: Final answer
    x = 6,461.10

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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.