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Finding the Fourth Proportional to 7,802.70, 11,704.05 and 7,754.10

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Solution

The fourth proportional to 7,802.70, 11,704.05 and 7,754.10 is: 11,631.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.70 : 11,704.05 = 7,754.10 : x
  2. Step 2: Convert to fraction form
    7,802.70/11,704.05 = 7,754.10/x
  3. Step 3: Cross multiply
    7,802.70x = 11,704.05 × 7,754.10
  4. Step 4: Simplify right side
    7,802.70x = 90,754,374.11
  5. Step 5: Solve for x
    x = 90,754,374.11/7,802.70
  6. Step 6: Final answer
    x = 11,631.15

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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.