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Finding the Fourth Proportional to 8,492.99, 12,734.62 and 3,558.47

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Solution

The fourth proportional to 8,492.99, 12,734.62 and 3,558.47 is: 5,335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.99 : 12,734.62 = 3,558.47 : x
  2. Step 2: Convert to fraction form
    8,492.99/12,734.62 = 3,558.47/x
  3. Step 3: Cross multiply
    8,492.99x = 12,734.62 × 3,558.47
  4. Step 4: Simplify right side
    8,492.99x = 45,315,681.77
  5. Step 5: Solve for x
    x = 45,315,681.77/8,492.99
  6. Step 6: Final answer
    x = 5,335.66

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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.