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Finding the Fourth Proportional to 7,842.90, 10,823.77 and 5,185.70

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Solution

The fourth proportional to 7,842.90, 10,823.77 and 5,185.70 is: 7,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.90 : 10,823.77 = 5,185.70 : x
  2. Step 2: Convert to fraction form
    7,842.90/10,823.77 = 5,185.70/x
  3. Step 3: Cross multiply
    7,842.90x = 10,823.77 × 5,185.70
  4. Step 4: Simplify right side
    7,842.90x = 56,128,824.09
  5. Step 5: Solve for x
    x = 56,128,824.09/7,842.90
  6. Step 6: Final answer
    x = 7,156.64

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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.