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Finding the Fourth Proportional to 8,462.22, 11,678.98 and 5,106.95

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Solution

The fourth proportional to 8,462.22, 11,678.98 and 5,106.95 is: 7,048.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.22 : 11,678.98 = 5,106.95 : x
  2. Step 2: Convert to fraction form
    8,462.22/11,678.98 = 5,106.95/x
  3. Step 3: Cross multiply
    8,462.22x = 11,678.98 × 5,106.95
  4. Step 4: Simplify right side
    8,462.22x = 59,643,966.91
  5. Step 5: Solve for x
    x = 59,643,966.91/8,462.22
  6. Step 6: Final answer
    x = 7,048.26

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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.