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Finding the Fourth Proportional to 7,888.95, 11,826.54 and 2,957.27

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Solution

The fourth proportional to 7,888.95, 11,826.54 and 2,957.27 is: 4,433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.95 : 11,826.54 = 2,957.27 : x
  2. Step 2: Convert to fraction form
    7,888.95/11,826.54 = 2,957.27/x
  3. Step 3: Cross multiply
    7,888.95x = 11,826.54 × 2,957.27
  4. Step 4: Simplify right side
    7,888.95x = 34,974,212.81
  5. Step 5: Solve for x
    x = 34,974,212.81/7,888.95
  6. Step 6: Final answer
    x = 4,433.32

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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.