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Finding the Fourth Proportional to 8,590.32, 11,853.54 and 5,052.24

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Solution

The fourth proportional to 8,590.32, 11,853.54 and 5,052.24 is: 6,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.32 : 11,853.54 = 5,052.24 : x
  2. Step 2: Convert to fraction form
    8,590.32/11,853.54 = 5,052.24/x
  3. Step 3: Cross multiply
    8,590.32x = 11,853.54 × 5,052.24
  4. Step 4: Simplify right side
    8,590.32x = 59,886,928.93
  5. Step 5: Solve for x
    x = 59,886,928.93/8,590.32
  6. Step 6: Final answer
    x = 6,971.44

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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.