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Finding the Fourth Proportional to 10,730.41, 14,820.09 and 7,321.57

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Solution

The fourth proportional to 10,730.41, 14,820.09 and 7,321.57 is: 10,112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.41 : 14,820.09 = 7,321.57 : x
  2. Step 2: Convert to fraction form
    10,730.41/14,820.09 = 7,321.57/x
  3. Step 3: Cross multiply
    10,730.41x = 14,820.09 × 7,321.57
  4. Step 4: Simplify right side
    10,730.41x = 108,506,289.29
  5. Step 5: Solve for x
    x = 108,506,289.29/10,730.41
  6. Step 6: Final answer
    x = 10,112.04

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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.