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Finding the Fourth Proportional to 7,477.65, 11,201.90 and 4,548.69

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Solution

The fourth proportional to 7,477.65, 11,201.90 and 4,548.69 is: 6,814.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.65 : 11,201.90 = 4,548.69 : x
  2. Step 2: Convert to fraction form
    7,477.65/11,201.90 = 4,548.69/x
  3. Step 3: Cross multiply
    7,477.65x = 11,201.90 × 4,548.69
  4. Step 4: Simplify right side
    7,477.65x = 50,953,947.77
  5. Step 5: Solve for x
    x = 50,953,947.77/7,477.65
  6. Step 6: Final answer
    x = 6,814.17

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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.