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Finding the Fourth Proportional to 11,590.14, 15,994.36 and 6,284.98

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Solution

The fourth proportional to 11,590.14, 15,994.36 and 6,284.98 is: 8,673.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.14 : 15,994.36 = 6,284.98 : x
  2. Step 2: Convert to fraction form
    11,590.14/15,994.36 = 6,284.98/x
  3. Step 3: Cross multiply
    11,590.14x = 15,994.36 × 6,284.98
  4. Step 4: Simplify right side
    11,590.14x = 100,524,232.71
  5. Step 5: Solve for x
    x = 100,524,232.71/11,590.14
  6. Step 6: Final answer
    x = 8,673.25

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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.