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Finding the Fourth Proportional to 10,761.08, 16,130.08 and 5,206.78

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Solution

The fourth proportional to 10,761.08, 16,130.08 and 5,206.78 is: 7,804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.08 : 16,130.08 = 5,206.78 : x
  2. Step 2: Convert to fraction form
    10,761.08/16,130.08 = 5,206.78/x
  3. Step 3: Cross multiply
    10,761.08x = 16,130.08 × 5,206.78
  4. Step 4: Simplify right side
    10,761.08x = 83,985,671.26
  5. Step 5: Solve for x
    x = 83,985,671.26/10,761.08
  6. Step 6: Final answer
    x = 7,804.58

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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.