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Finding the Fourth Proportional to 10,133.04, 15,200.10 and 3,207

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Solution

The fourth proportional to 10,133.04, 15,200.10 and 3,207 is: 4,810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.04 : 15,200.10 = 3,207 : x
  2. Step 2: Convert to fraction form
    10,133.04/15,200.10 = 3,207/x
  3. Step 3: Cross multiply
    10,133.04x = 15,200.10 × 3,207
  4. Step 4: Simplify right side
    10,133.04x = 48,746,720.70
  5. Step 5: Solve for x
    x = 48,746,720.70/10,133.04
  6. Step 6: Final answer
    x = 4,810.67

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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.