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Finding the Fourth Proportional to 10,206.62, 15,311.25 and 7,038.17

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Solution

The fourth proportional to 10,206.62, 15,311.25 and 7,038.17 is: 10,558.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.62 : 15,311.25 = 7,038.17 : x
  2. Step 2: Convert to fraction form
    10,206.62/15,311.25 = 7,038.17/x
  3. Step 3: Cross multiply
    10,206.62x = 15,311.25 × 7,038.17
  4. Step 4: Simplify right side
    10,206.62x = 107,763,180.41
  5. Step 5: Solve for x
    x = 107,763,180.41/10,206.62
  6. Step 6: Final answer
    x = 10,558.17

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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.