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Finding the Fourth Proportional to 11,852.42, 17,763.84 and 6,590.25

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Solution

The fourth proportional to 11,852.42, 17,763.84 and 6,590.25 is: 9,877.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.42 : 17,763.84 = 6,590.25 : x
  2. Step 2: Convert to fraction form
    11,852.42/17,763.84 = 6,590.25/x
  3. Step 3: Cross multiply
    11,852.42x = 17,763.84 × 6,590.25
  4. Step 4: Simplify right side
    11,852.42x = 117,068,146.56
  5. Step 5: Solve for x
    x = 117,068,146.56/11,852.42
  6. Step 6: Final answer
    x = 9,877.16

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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.