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Finding the Fourth Proportional to 7,405.96, 10,212.42 and 4,606.60

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Solution

The fourth proportional to 7,405.96, 10,212.42 and 4,606.60 is: 6,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.96 : 10,212.42 = 4,606.60 : x
  2. Step 2: Convert to fraction form
    7,405.96/10,212.42 = 4,606.60/x
  3. Step 3: Cross multiply
    7,405.96x = 10,212.42 × 4,606.60
  4. Step 4: Simplify right side
    7,405.96x = 47,044,533.97
  5. Step 5: Solve for x
    x = 47,044,533.97/7,405.96
  6. Step 6: Final answer
    x = 6,352.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.