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Finding the Fourth Proportional to 7,464.69, 11,201.63 and 4,346.08

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Solution

The fourth proportional to 7,464.69, 11,201.63 and 4,346.08 is: 6,521.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.69 : 11,201.63 = 4,346.08 : x
  2. Step 2: Convert to fraction form
    7,464.69/11,201.63 = 4,346.08/x
  3. Step 3: Cross multiply
    7,464.69x = 11,201.63 × 4,346.08
  4. Step 4: Simplify right side
    7,464.69x = 48,683,130.38
  5. Step 5: Solve for x
    x = 48,683,130.38/7,464.69
  6. Step 6: Final answer
    x = 6,521.79

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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.