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Finding the Fourth Proportional to 8,670.13, 11,966.40 and 4,944.13

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Solution

The fourth proportional to 8,670.13, 11,966.40 and 4,944.13 is: 6,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.13 : 11,966.40 = 4,944.13 : x
  2. Step 2: Convert to fraction form
    8,670.13/11,966.40 = 4,944.13/x
  3. Step 3: Cross multiply
    8,670.13x = 11,966.40 × 4,944.13
  4. Step 4: Simplify right side
    8,670.13x = 59,163,352.68
  5. Step 5: Solve for x
    x = 59,163,352.68/8,670.13
  6. Step 6: Final answer
    x = 6,823.82

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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.