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Finding the Fourth Proportional to 8,017, 11,066.54 and 7,176.22

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Solution

The fourth proportional to 8,017, 11,066.54 and 7,176.22 is: 9,905.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,017 : 11,066.54 = 7,176.22 : x
  2. Step 2: Convert to fraction form
    8,017/11,066.54 = 7,176.22/x
  3. Step 3: Cross multiply
    8,017x = 11,066.54 × 7,176.22
  4. Step 4: Simplify right side
    8,017x = 79,415,925.68
  5. Step 5: Solve for x
    x = 79,415,925.68/8,017
  6. Step 6: Final answer
    x = 9,905.94

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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.