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Finding the Fourth Proportional to 10,312.84, 15,469.26 and 5,927.50

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Solution

The fourth proportional to 10,312.84, 15,469.26 and 5,927.50 is: 8,891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.84 : 15,469.26 = 5,927.50 : x
  2. Step 2: Convert to fraction form
    10,312.84/15,469.26 = 5,927.50/x
  3. Step 3: Cross multiply
    10,312.84x = 15,469.26 × 5,927.50
  4. Step 4: Simplify right side
    10,312.84x = 91,694,038.65
  5. Step 5: Solve for x
    x = 91,694,038.65/10,312.84
  6. Step 6: Final answer
    x = 8,891.25

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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.