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Finding the Fourth Proportional to 8,771.04, 13,141.68 and 5,301

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Solution

The fourth proportional to 8,771.04, 13,141.68 and 5,301 is: 7,942.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.04 : 13,141.68 = 5,301 : x
  2. Step 2: Convert to fraction form
    8,771.04/13,141.68 = 5,301/x
  3. Step 3: Cross multiply
    8,771.04x = 13,141.68 × 5,301
  4. Step 4: Simplify right side
    8,771.04x = 69,664,045.68
  5. Step 5: Solve for x
    x = 69,664,045.68/8,771.04
  6. Step 6: Final answer
    x = 7,942.51

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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.