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Finding the Fourth Proportional to 10,530.36, 15,762.42 and 7,224.12

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Solution

The fourth proportional to 10,530.36, 15,762.42 and 7,224.12 is: 10,813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.36 : 15,762.42 = 7,224.12 : x
  2. Step 2: Convert to fraction form
    10,530.36/15,762.42 = 7,224.12/x
  3. Step 3: Cross multiply
    10,530.36x = 15,762.42 × 7,224.12
  4. Step 4: Simplify right side
    10,530.36x = 113,869,613.57
  5. Step 5: Solve for x
    x = 113,869,613.57/10,530.36
  6. Step 6: Final answer
    x = 10,813.46

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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.