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Finding the Fourth Proportional to 10,302.98, 14,207.42 and 8,815.82

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Solution

The fourth proportional to 10,302.98, 14,207.42 and 8,815.82 is: 12,156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.98 : 14,207.42 = 8,815.82 : x
  2. Step 2: Convert to fraction form
    10,302.98/14,207.42 = 8,815.82/x
  3. Step 3: Cross multiply
    10,302.98x = 14,207.42 × 8,815.82
  4. Step 4: Simplify right side
    10,302.98x = 125,250,008.39
  5. Step 5: Solve for x
    x = 125,250,008.39/10,302.98
  6. Step 6: Final answer
    x = 12,156.68

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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.