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Finding the Fourth Proportional to 7,852.51, 11,780.89 and 2,588.52

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Solution

The fourth proportional to 7,852.51, 11,780.89 and 2,588.52 is: 3,883.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.51 : 11,780.89 = 2,588.52 : x
  2. Step 2: Convert to fraction form
    7,852.51/11,780.89 = 2,588.52/x
  3. Step 3: Cross multiply
    7,852.51x = 11,780.89 × 2,588.52
  4. Step 4: Simplify right side
    7,852.51x = 30,495,069.38
  5. Step 5: Solve for x
    x = 30,495,069.38/7,852.51
  6. Step 6: Final answer
    x = 3,883.48

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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.