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Finding the Fourth Proportional to 7,277.70, 10,916.55 and 4,167.30

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Solution

The fourth proportional to 7,277.70, 10,916.55 and 4,167.30 is: 6,250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.70 : 10,916.55 = 4,167.30 : x
  2. Step 2: Convert to fraction form
    7,277.70/10,916.55 = 4,167.30/x
  3. Step 3: Cross multiply
    7,277.70x = 10,916.55 × 4,167.30
  4. Step 4: Simplify right side
    7,277.70x = 45,492,538.82
  5. Step 5: Solve for x
    x = 45,492,538.82/7,277.70
  6. Step 6: Final answer
    x = 6,250.95

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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.