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Finding the Fourth Proportional to 10,804.46, 16,240.53 and 7,130.30

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Solution

The fourth proportional to 10,804.46, 16,240.53 and 7,130.30 is: 10,717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.46 : 16,240.53 = 7,130.30 : x
  2. Step 2: Convert to fraction form
    10,804.46/16,240.53 = 7,130.30/x
  3. Step 3: Cross multiply
    10,804.46x = 16,240.53 × 7,130.30
  4. Step 4: Simplify right side
    10,804.46x = 115,799,873.46
  5. Step 5: Solve for x
    x = 115,799,873.46/10,804.46
  6. Step 6: Final answer
    x = 10,717.78

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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.