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Finding the Fourth Proportional to 8,218.64, 11,341.14 and 4,681.20

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Solution

The fourth proportional to 8,218.64, 11,341.14 and 4,681.20 is: 6,459.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.64 : 11,341.14 = 4,681.20 : x
  2. Step 2: Convert to fraction form
    8,218.64/11,341.14 = 4,681.20/x
  3. Step 3: Cross multiply
    8,218.64x = 11,341.14 × 4,681.20
  4. Step 4: Simplify right side
    8,218.64x = 53,090,144.57
  5. Step 5: Solve for x
    x = 53,090,144.57/8,218.64
  6. Step 6: Final answer
    x = 6,459.72

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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.