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Finding the Fourth Proportional to 10,878.84, 16,305.75 and 5,023.13

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Solution

The fourth proportional to 10,878.84, 16,305.75 and 5,023.13 is: 7,528.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.84 : 16,305.75 = 5,023.13 : x
  2. Step 2: Convert to fraction form
    10,878.84/16,305.75 = 5,023.13/x
  3. Step 3: Cross multiply
    10,878.84x = 16,305.75 × 5,023.13
  4. Step 4: Simplify right side
    10,878.84x = 81,905,820.47
  5. Step 5: Solve for x
    x = 81,905,820.47/10,878.84
  6. Step 6: Final answer
    x = 7,528.91

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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.