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Finding the Fourth Proportional to 28,842.09, 43,259.69 and 7,780.52

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Solution

The fourth proportional to 28,842.09, 43,259.69 and 7,780.52 is: 11,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,842.09 : 43,259.69 = 7,780.52 : x
  2. Step 2: Convert to fraction form
    28,842.09/43,259.69 = 7,780.52/x
  3. Step 3: Cross multiply
    28,842.09x = 43,259.69 × 7,780.52
  4. Step 4: Simplify right side
    28,842.09x = 336,582,967.07
  5. Step 5: Solve for x
    x = 336,582,967.07/28,842.09
  6. Step 6: Final answer
    x = 11,669.85

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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.