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Finding the Fourth Proportional to 7,477.68, 11,208.99 and 4,706.34

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Solution

The fourth proportional to 7,477.68, 11,208.99 and 4,706.34 is: 7,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.68 : 11,208.99 = 4,706.34 : x
  2. Step 2: Convert to fraction form
    7,477.68/11,208.99 = 4,706.34/x
  3. Step 3: Cross multiply
    7,477.68x = 11,208.99 × 4,706.34
  4. Step 4: Simplify right side
    7,477.68x = 52,753,318.00
  5. Step 5: Solve for x
    x = 52,753,318.00/7,477.68
  6. Step 6: Final answer
    x = 7,054.77

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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.