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Finding the Fourth Proportional to 10,503.03, 14,494.83 and 5,787.30

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Solution

The fourth proportional to 10,503.03, 14,494.83 and 5,787.30 is: 7,986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.03 : 14,494.83 = 5,787.30 : x
  2. Step 2: Convert to fraction form
    10,503.03/14,494.83 = 5,787.30/x
  3. Step 3: Cross multiply
    10,503.03x = 14,494.83 × 5,787.30
  4. Step 4: Simplify right side
    10,503.03x = 83,885,929.66
  5. Step 5: Solve for x
    x = 83,885,929.66/10,503.03
  6. Step 6: Final answer
    x = 7,986.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.