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Finding the Fourth Proportional to 8,671.34, 11,966.47 and 4,692.50

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Solution

The fourth proportional to 8,671.34, 11,966.47 and 4,692.50 is: 6,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.34 : 11,966.47 = 4,692.50 : x
  2. Step 2: Convert to fraction form
    8,671.34/11,966.47 = 4,692.50/x
  3. Step 3: Cross multiply
    8,671.34x = 11,966.47 × 4,692.50
  4. Step 4: Simplify right side
    8,671.34x = 56,152,600.64
  5. Step 5: Solve for x
    x = 56,152,600.64/8,671.34
  6. Step 6: Final answer
    x = 6,475.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.