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Finding the Fourth Proportional to 11,590.48, 15,994.88 and 6,285.26

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Solution

The fourth proportional to 11,590.48, 15,994.88 and 6,285.26 is: 8,673.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.48 : 15,994.88 = 6,285.26 : x
  2. Step 2: Convert to fraction form
    11,590.48/15,994.88 = 6,285.26/x
  3. Step 3: Cross multiply
    11,590.48x = 15,994.88 × 6,285.26
  4. Step 4: Simplify right side
    11,590.48x = 100,531,979.47
  5. Step 5: Solve for x
    x = 100,531,979.47/11,590.48
  6. Step 6: Final answer
    x = 8,673.67

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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.