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Finding the Fourth Proportional to 8,192.19, 11,305.21 and 4,655.40

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Solution

The fourth proportional to 8,192.19, 11,305.21 and 4,655.40 is: 6,424.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.19 : 11,305.21 = 4,655.40 : x
  2. Step 2: Convert to fraction form
    8,192.19/11,305.21 = 4,655.40/x
  3. Step 3: Cross multiply
    8,192.19x = 11,305.21 × 4,655.40
  4. Step 4: Simplify right side
    8,192.19x = 52,630,274.63
  5. Step 5: Solve for x
    x = 52,630,274.63/8,192.19
  6. Step 6: Final answer
    x = 6,424.45

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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.