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Finding the Fourth Proportional to 7,817.72, 11,730.74 and 4,703.99

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Solution

The fourth proportional to 7,817.72, 11,730.74 and 4,703.99 is: 7,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.72 : 11,730.74 = 4,703.99 : x
  2. Step 2: Convert to fraction form
    7,817.72/11,730.74 = 4,703.99/x
  3. Step 3: Cross multiply
    7,817.72x = 11,730.74 × 4,703.99
  4. Step 4: Simplify right side
    7,817.72x = 55,181,201.48
  5. Step 5: Solve for x
    x = 55,181,201.48/7,817.72
  6. Step 6: Final answer
    x = 7,058.48

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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.