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Finding the Fourth Proportional to 8,173.40, 11,281.80 and 6,497.84

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Solution

The fourth proportional to 8,173.40, 11,281.80 and 6,497.84 is: 8,969.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,173.40 : 11,281.80 = 6,497.84 : x
  2. Step 2: Convert to fraction form
    8,173.40/11,281.80 = 6,497.84/x
  3. Step 3: Cross multiply
    8,173.40x = 11,281.80 × 6,497.84
  4. Step 4: Simplify right side
    8,173.40x = 73,307,331.31
  5. Step 5: Solve for x
    x = 73,307,331.31/8,173.40
  6. Step 6: Final answer
    x = 8,969.01

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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.