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Finding the Fourth Proportional to 11,852.61, 17,781.52 and 4,457.07

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Solution

The fourth proportional to 11,852.61, 17,781.52 and 4,457.07 is: 6,686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.61 : 17,781.52 = 4,457.07 : x
  2. Step 2: Convert to fraction form
    11,852.61/17,781.52 = 4,457.07/x
  3. Step 3: Cross multiply
    11,852.61x = 17,781.52 × 4,457.07
  4. Step 4: Simplify right side
    11,852.61x = 79,253,496.11
  5. Step 5: Solve for x
    x = 79,253,496.11/11,852.61
  6. Step 6: Final answer
    x = 6,686.58

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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.