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Finding the Fourth Proportional to 7,703.16, 11,553.30 and 3,022.98

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Solution

The fourth proportional to 7,703.16, 11,553.30 and 3,022.98 is: 4,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.16 : 11,553.30 = 3,022.98 : x
  2. Step 2: Convert to fraction form
    7,703.16/11,553.30 = 3,022.98/x
  3. Step 3: Cross multiply
    7,703.16x = 11,553.30 × 3,022.98
  4. Step 4: Simplify right side
    7,703.16x = 34,925,394.83
  5. Step 5: Solve for x
    x = 34,925,394.83/7,703.16
  6. Step 6: Final answer
    x = 4,533.90

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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.