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Finding the Fourth Proportional to 8,872.00, 13,308.71 and 2,948.67

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Solution

The fourth proportional to 8,872.00, 13,308.71 and 2,948.67 is: 4,423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,872.00 : 13,308.71 = 2,948.67 : x
  2. Step 2: Convert to fraction form
    8,872.00/13,308.71 = 2,948.67/x
  3. Step 3: Cross multiply
    8,872.00x = 13,308.71 × 2,948.67
  4. Step 4: Simplify right side
    8,872.00x = 39,242,979.17
  5. Step 5: Solve for x
    x = 39,242,979.17/8,872.00
  6. Step 6: Final answer
    x = 4,423.24

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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.