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Finding the Fourth Proportional to 11,297.64, 15,590.83 and 6,261.94

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Solution

The fourth proportional to 11,297.64, 15,590.83 and 6,261.94 is: 8,641.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.64 : 15,590.83 = 6,261.94 : x
  2. Step 2: Convert to fraction form
    11,297.64/15,590.83 = 6,261.94/x
  3. Step 3: Cross multiply
    11,297.64x = 15,590.83 × 6,261.94
  4. Step 4: Simplify right side
    11,297.64x = 97,628,787.38
  5. Step 5: Solve for x
    x = 97,628,787.38/11,297.64
  6. Step 6: Final answer
    x = 8,641.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.