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Finding the Fourth Proportional to 7,602.96, 11,406.08 and 4,317.60

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Solution

The fourth proportional to 7,602.96, 11,406.08 and 4,317.60 is: 6,477.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.96 : 11,406.08 = 4,317.60 : x
  2. Step 2: Convert to fraction form
    7,602.96/11,406.08 = 4,317.60/x
  3. Step 3: Cross multiply
    7,602.96x = 11,406.08 × 4,317.60
  4. Step 4: Simplify right side
    7,602.96x = 49,246,891.01
  5. Step 5: Solve for x
    x = 49,246,891.01/7,602.96
  6. Step 6: Final answer
    x = 6,477.33

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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.