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Finding the Fourth Proportional to 11,852.09, 17,780.07 and 4,457.16

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Solution

The fourth proportional to 11,852.09, 17,780.07 and 4,457.16 is: 6,686.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.09 : 17,780.07 = 4,457.16 : x
  2. Step 2: Convert to fraction form
    11,852.09/17,780.07 = 4,457.16/x
  3. Step 3: Cross multiply
    11,852.09x = 17,780.07 × 4,457.16
  4. Step 4: Simplify right side
    11,852.09x = 79,248,633.52
  5. Step 5: Solve for x
    x = 79,248,633.52/11,852.09
  6. Step 6: Final answer
    x = 6,686.47

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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.