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Finding the Fourth Proportional to 10,483.20, 15,725.88 and 3,461.16

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Solution

The fourth proportional to 10,483.20, 15,725.88 and 3,461.16 is: 5,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.20 : 15,725.88 = 3,461.16 : x
  2. Step 2: Convert to fraction form
    10,483.20/15,725.88 = 3,461.16/x
  3. Step 3: Cross multiply
    10,483.20x = 15,725.88 × 3,461.16
  4. Step 4: Simplify right side
    10,483.20x = 54,429,786.82
  5. Step 5: Solve for x
    x = 54,429,786.82/10,483.20
  6. Step 6: Final answer
    x = 5,192.10

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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.