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Finding the Fourth Proportional to 7,277.90, 10,911.45 and 2,893.10

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Solution

The fourth proportional to 7,277.90, 10,911.45 and 2,893.10 is: 4,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.90 : 10,911.45 = 2,893.10 : x
  2. Step 2: Convert to fraction form
    7,277.90/10,911.45 = 2,893.10/x
  3. Step 3: Cross multiply
    7,277.90x = 10,911.45 × 2,893.10
  4. Step 4: Simplify right side
    7,277.90x = 31,567,916.00
  5. Step 5: Solve for x
    x = 31,567,916.00/7,277.90
  6. Step 6: Final answer
    x = 4,337.50

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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.