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Finding the Fourth Proportional to 7,886.67, 11,830.23 and 2,692.50

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Solution

The fourth proportional to 7,886.67, 11,830.23 and 2,692.50 is: 4,038.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.67 : 11,830.23 = 2,692.50 : x
  2. Step 2: Convert to fraction form
    7,886.67/11,830.23 = 2,692.50/x
  3. Step 3: Cross multiply
    7,886.67x = 11,830.23 × 2,692.50
  4. Step 4: Simplify right side
    7,886.67x = 31,852,894.28
  5. Step 5: Solve for x
    x = 31,852,894.28/7,886.67
  6. Step 6: Final answer
    x = 4,038.83

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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.