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Finding the Fourth Proportional to 8,127.16, 12,182.10 and 4,658.20

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Solution

The fourth proportional to 8,127.16, 12,182.10 and 4,658.20 is: 6,982.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.16 : 12,182.10 = 4,658.20 : x
  2. Step 2: Convert to fraction form
    8,127.16/12,182.10 = 4,658.20/x
  3. Step 3: Cross multiply
    8,127.16x = 12,182.10 × 4,658.20
  4. Step 4: Simplify right side
    8,127.16x = 56,746,658.22
  5. Step 5: Solve for x
    x = 56,746,658.22/8,127.16
  6. Step 6: Final answer
    x = 6,982.35

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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.