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Finding the Fourth Proportional to 6,667.92, 10,011.60 and 4,730.40

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Solution

The fourth proportional to 6,667.92, 10,011.60 and 4,730.40 is: 7,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.92 : 10,011.60 = 4,730.40 : x
  2. Step 2: Convert to fraction form
    6,667.92/10,011.60 = 4,730.40/x
  3. Step 3: Cross multiply
    6,667.92x = 10,011.60 × 4,730.40
  4. Step 4: Simplify right side
    6,667.92x = 47,358,872.64
  5. Step 5: Solve for x
    x = 47,358,872.64/6,667.92
  6. Step 6: Final answer
    x = 7,102.50

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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.