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Finding the Fourth Proportional to 10,841.02, 16,261.52 and 5,289.68

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Solution

The fourth proportional to 10,841.02, 16,261.52 and 5,289.68 is: 7,934.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,841.02 : 16,261.52 = 5,289.68 : x
  2. Step 2: Convert to fraction form
    10,841.02/16,261.52 = 5,289.68/x
  3. Step 3: Cross multiply
    10,841.02x = 16,261.52 × 5,289.68
  4. Step 4: Simplify right side
    10,841.02x = 86,018,237.11
  5. Step 5: Solve for x
    x = 86,018,237.11/10,841.02
  6. Step 6: Final answer
    x = 7,934.52

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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.