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Finding the Fourth Proportional to 7,892.64, 11,841.72 and 3,510.47

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Solution

The fourth proportional to 7,892.64, 11,841.72 and 3,510.47 is: 5,266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.64 : 11,841.72 = 3,510.47 : x
  2. Step 2: Convert to fraction form
    7,892.64/11,841.72 = 3,510.47/x
  3. Step 3: Cross multiply
    7,892.64x = 11,841.72 × 3,510.47
  4. Step 4: Simplify right side
    7,892.64x = 41,570,002.81
  5. Step 5: Solve for x
    x = 41,570,002.81/7,892.64
  6. Step 6: Final answer
    x = 5,266.93

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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.