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Finding the Fourth Proportional to 7,888.60, 11,830.47 and 2,622.50

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Solution

The fourth proportional to 7,888.60, 11,830.47 and 2,622.50 is: 3,932.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.60 : 11,830.47 = 2,622.50 : x
  2. Step 2: Convert to fraction form
    7,888.60/11,830.47 = 2,622.50/x
  3. Step 3: Cross multiply
    7,888.60x = 11,830.47 × 2,622.50
  4. Step 4: Simplify right side
    7,888.60x = 31,025,407.58
  5. Step 5: Solve for x
    x = 31,025,407.58/7,888.60
  6. Step 6: Final answer
    x = 3,932.94

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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.