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Finding the Fourth Proportional to 8,071.03, 12,107.76 and 2,876.50

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Solution

The fourth proportional to 8,071.03, 12,107.76 and 2,876.50 is: 4,315.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.03 : 12,107.76 = 2,876.50 : x
  2. Step 2: Convert to fraction form
    8,071.03/12,107.76 = 2,876.50/x
  3. Step 3: Cross multiply
    8,071.03x = 12,107.76 × 2,876.50
  4. Step 4: Simplify right side
    8,071.03x = 34,827,971.64
  5. Step 5: Solve for x
    x = 34,827,971.64/8,071.03
  6. Step 6: Final answer
    x = 4,315.18

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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.