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Finding the Fourth Proportional to 8,457.70, 12,686.55 and 5,692.90

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Solution

The fourth proportional to 8,457.70, 12,686.55 and 5,692.90 is: 8,539.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.70 : 12,686.55 = 5,692.90 : x
  2. Step 2: Convert to fraction form
    8,457.70/12,686.55 = 5,692.90/x
  3. Step 3: Cross multiply
    8,457.70x = 12,686.55 × 5,692.90
  4. Step 4: Simplify right side
    8,457.70x = 72,223,260.50
  5. Step 5: Solve for x
    x = 72,223,260.50/8,457.70
  6. Step 6: Final answer
    x = 8,539.35

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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.