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Finding the Fourth Proportional to 10,863.42, 16,279.63 and 6,421.98

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Solution

The fourth proportional to 10,863.42, 16,279.63 and 6,421.98 is: 9,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.42 : 16,279.63 = 6,421.98 : x
  2. Step 2: Convert to fraction form
    10,863.42/16,279.63 = 6,421.98/x
  3. Step 3: Cross multiply
    10,863.42x = 16,279.63 × 6,421.98
  4. Step 4: Simplify right side
    10,863.42x = 104,547,539.38
  5. Step 5: Solve for x
    x = 104,547,539.38/10,863.42
  6. Step 6: Final answer
    x = 9,623.82

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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.