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Finding the Fourth Proportional to 7,886.96, 11,830.20 and 2,692.40

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Solution

The fourth proportional to 7,886.96, 11,830.20 and 2,692.40 is: 4,038.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.96 : 11,830.20 = 2,692.40 : x
  2. Step 2: Convert to fraction form
    7,886.96/11,830.20 = 2,692.40/x
  3. Step 3: Cross multiply
    7,886.96x = 11,830.20 × 2,692.40
  4. Step 4: Simplify right side
    7,886.96x = 31,851,630.48
  5. Step 5: Solve for x
    x = 31,851,630.48/7,886.96
  6. Step 6: Final answer
    x = 4,038.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.