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Finding the Fourth Proportional to 10,730.34, 16,094.14 and 4,152.02

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Solution

The fourth proportional to 10,730.34, 16,094.14 and 4,152.02 is: 6,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.34 : 16,094.14 = 4,152.02 : x
  2. Step 2: Convert to fraction form
    10,730.34/16,094.14 = 4,152.02/x
  3. Step 3: Cross multiply
    10,730.34x = 16,094.14 × 4,152.02
  4. Step 4: Simplify right side
    10,730.34x = 66,823,170.40
  5. Step 5: Solve for x
    x = 66,823,170.40/10,730.34
  6. Step 6: Final answer
    x = 6,227.50

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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.