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Finding the Fourth Proportional to 10,670.74, 16,017.95 and 6,291.27

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Solution

The fourth proportional to 10,670.74, 16,017.95 and 6,291.27 is: 9,443.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.74 : 16,017.95 = 6,291.27 : x
  2. Step 2: Convert to fraction form
    10,670.74/16,017.95 = 6,291.27/x
  3. Step 3: Cross multiply
    10,670.74x = 16,017.95 × 6,291.27
  4. Step 4: Simplify right side
    10,670.74x = 100,773,264.02
  5. Step 5: Solve for x
    x = 100,773,264.02/10,670.74
  6. Step 6: Final answer
    x = 9,443.89

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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.