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Finding the Fourth Proportional to 11,665.84, 17,501.52 and 3,875.44

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Solution

The fourth proportional to 11,665.84, 17,501.52 and 3,875.44 is: 5,814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.84 : 17,501.52 = 3,875.44 : x
  2. Step 2: Convert to fraction form
    11,665.84/17,501.52 = 3,875.44/x
  3. Step 3: Cross multiply
    11,665.84x = 17,501.52 × 3,875.44
  4. Step 4: Simplify right side
    11,665.84x = 67,826,090.67
  5. Step 5: Solve for x
    x = 67,826,090.67/11,665.84
  6. Step 6: Final answer
    x = 5,814.08

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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.