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Finding the Fourth Proportional to 10,062.84, 15,094.02 and 3,137.16

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Solution

The fourth proportional to 10,062.84, 15,094.02 and 3,137.16 is: 4,705.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.84 : 15,094.02 = 3,137.16 : x
  2. Step 2: Convert to fraction form
    10,062.84/15,094.02 = 3,137.16/x
  3. Step 3: Cross multiply
    10,062.84x = 15,094.02 × 3,137.16
  4. Step 4: Simplify right side
    10,062.84x = 47,352,355.78
  5. Step 5: Solve for x
    x = 47,352,355.78/10,062.84
  6. Step 6: Final answer
    x = 4,705.67

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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.