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Finding the Fourth Proportional to 10,563.76, 15,833.61 and 5,009.26

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Solution

The fourth proportional to 10,563.76, 15,833.61 and 5,009.26 is: 7,508.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.76 : 15,833.61 = 5,009.26 : x
  2. Step 2: Convert to fraction form
    10,563.76/15,833.61 = 5,009.26/x
  3. Step 3: Cross multiply
    10,563.76x = 15,833.61 × 5,009.26
  4. Step 4: Simplify right side
    10,563.76x = 79,314,669.23
  5. Step 5: Solve for x
    x = 79,314,669.23/10,563.76
  6. Step 6: Final answer
    x = 7,508.19

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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.