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Finding the Fourth Proportional to 8,102.16, 12,156.66 and 4,407

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Solution

The fourth proportional to 8,102.16, 12,156.66 and 4,407 is: 6,612.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.16 : 12,156.66 = 4,407 : x
  2. Step 2: Convert to fraction form
    8,102.16/12,156.66 = 4,407/x
  3. Step 3: Cross multiply
    8,102.16x = 12,156.66 × 4,407
  4. Step 4: Simplify right side
    8,102.16x = 53,574,400.62
  5. Step 5: Solve for x
    x = 53,574,400.62/8,102.16
  6. Step 6: Final answer
    x = 6,612.36

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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.