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Finding the Fourth Proportional to 10,305.25, 15,447.08 and 4,762.23

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Solution

The fourth proportional to 10,305.25, 15,447.08 and 4,762.23 is: 7,138.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.25 : 15,447.08 = 4,762.23 : x
  2. Step 2: Convert to fraction form
    10,305.25/15,447.08 = 4,762.23/x
  3. Step 3: Cross multiply
    10,305.25x = 15,447.08 × 4,762.23
  4. Step 4: Simplify right side
    10,305.25x = 73,562,446.74
  5. Step 5: Solve for x
    x = 73,562,446.74/10,305.25
  6. Step 6: Final answer
    x = 7,138.35

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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.