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Finding the Fourth Proportional to 8,106.98, 11,187.63 and 4,570.17

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Solution

The fourth proportional to 8,106.98, 11,187.63 and 4,570.17 is: 6,306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.98 : 11,187.63 = 4,570.17 : x
  2. Step 2: Convert to fraction form
    8,106.98/11,187.63 = 4,570.17/x
  3. Step 3: Cross multiply
    8,106.98x = 11,187.63 × 4,570.17
  4. Step 4: Simplify right side
    8,106.98x = 51,129,371.00
  5. Step 5: Solve for x
    x = 51,129,371.00/8,106.98
  6. Step 6: Final answer
    x = 6,306.84

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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.