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Finding the Fourth Proportional to 10,522.75, 14,521.41 and 5,807.02

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Solution

The fourth proportional to 10,522.75, 14,521.41 and 5,807.02 is: 8,013.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.75 : 14,521.41 = 5,807.02 : x
  2. Step 2: Convert to fraction form
    10,522.75/14,521.41 = 5,807.02/x
  3. Step 3: Cross multiply
    10,522.75x = 14,521.41 × 5,807.02
  4. Step 4: Simplify right side
    10,522.75x = 84,326,118.30
  5. Step 5: Solve for x
    x = 84,326,118.30/10,522.75
  6. Step 6: Final answer
    x = 8,013.70

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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.