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Finding the Fourth Proportional to 10,284.80, 14,192.10 and 6,305.12

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Solution

The fourth proportional to 10,284.80, 14,192.10 and 6,305.12 is: 8,700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.80 : 14,192.10 = 6,305.12 : x
  2. Step 2: Convert to fraction form
    10,284.80/14,192.10 = 6,305.12/x
  3. Step 3: Cross multiply
    10,284.80x = 14,192.10 × 6,305.12
  4. Step 4: Simplify right side
    10,284.80x = 89,482,893.55
  5. Step 5: Solve for x
    x = 89,482,893.55/10,284.80
  6. Step 6: Final answer
    x = 8,700.50

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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.