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Finding the Fourth Proportional to 10,191.69, 14,068.02 and 6,160.77

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Solution

The fourth proportional to 10,191.69, 14,068.02 and 6,160.77 is: 8,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.69 : 14,068.02 = 6,160.77 : x
  2. Step 2: Convert to fraction form
    10,191.69/14,068.02 = 6,160.77/x
  3. Step 3: Cross multiply
    10,191.69x = 14,068.02 × 6,160.77
  4. Step 4: Simplify right side
    10,191.69x = 86,669,835.58
  5. Step 5: Solve for x
    x = 86,669,835.58/10,191.69
  6. Step 6: Final answer
    x = 8,503.97

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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.