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Finding the Fourth Proportional to 11,590.76, 17,386.14 and 4,193.49

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Solution

The fourth proportional to 11,590.76, 17,386.14 and 4,193.49 is: 6,290.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.76 : 17,386.14 = 4,193.49 : x
  2. Step 2: Convert to fraction form
    11,590.76/17,386.14 = 4,193.49/x
  3. Step 3: Cross multiply
    11,590.76x = 17,386.14 × 4,193.49
  4. Step 4: Simplify right side
    11,590.76x = 72,908,604.23
  5. Step 5: Solve for x
    x = 72,908,604.23/11,590.76
  6. Step 6: Final answer
    x = 6,290.24

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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.