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Finding the Fourth Proportional to 10,339.50, 15,510.66 and 4,794.30

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Solution

The fourth proportional to 10,339.50, 15,510.66 and 4,794.30 is: 7,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.50 : 15,510.66 = 4,794.30 : x
  2. Step 2: Convert to fraction form
    10,339.50/15,510.66 = 4,794.30/x
  3. Step 3: Cross multiply
    10,339.50x = 15,510.66 × 4,794.30
  4. Step 4: Simplify right side
    10,339.50x = 74,362,757.24
  5. Step 5: Solve for x
    x = 74,362,757.24/10,339.50
  6. Step 6: Final answer
    x = 7,192.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.