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Finding the Fourth Proportional to 11,780.58, 16,259.52 and 6,748.16

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Solution

The fourth proportional to 11,780.58, 16,259.52 and 6,748.16 is: 9,313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.58 : 16,259.52 = 6,748.16 : x
  2. Step 2: Convert to fraction form
    11,780.58/16,259.52 = 6,748.16/x
  3. Step 3: Cross multiply
    11,780.58x = 16,259.52 × 6,748.16
  4. Step 4: Simplify right side
    11,780.58x = 109,721,781.10
  5. Step 5: Solve for x
    x = 109,721,781.10/11,780.58
  6. Step 6: Final answer
    x = 9,313.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.