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Finding the Fourth Proportional to 10,515.30, 15,772.95 and 9,219.30

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Solution

The fourth proportional to 10,515.30, 15,772.95 and 9,219.30 is: 13,828.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.30 : 15,772.95 = 9,219.30 : x
  2. Step 2: Convert to fraction form
    10,515.30/15,772.95 = 9,219.30/x
  3. Step 3: Cross multiply
    10,515.30x = 15,772.95 × 9,219.30
  4. Step 4: Simplify right side
    10,515.30x = 145,415,557.94
  5. Step 5: Solve for x
    x = 145,415,557.94/10,515.30
  6. Step 6: Final answer
    x = 13,828.95

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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.