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Finding the Fourth Proportional to 11,095.67, 15,290.82 and 7,946.39

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Solution

The fourth proportional to 11,095.67, 15,290.82 and 7,946.39 is: 10,950.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,095.67 : 15,290.82 = 7,946.39 : x
  2. Step 2: Convert to fraction form
    11,095.67/15,290.82 = 7,946.39/x
  3. Step 3: Cross multiply
    11,095.67x = 15,290.82 × 7,946.39
  4. Step 4: Simplify right side
    11,095.67x = 121,506,742.69
  5. Step 5: Solve for x
    x = 121,506,742.69/11,095.67
  6. Step 6: Final answer
    x = 10,950.83

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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.