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Finding the Fourth Proportional to 7,782.66, 10,740.15 and 4,245.93

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Solution

The fourth proportional to 7,782.66, 10,740.15 and 4,245.93 is: 5,859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.66 : 10,740.15 = 4,245.93 : x
  2. Step 2: Convert to fraction form
    7,782.66/10,740.15 = 4,245.93/x
  3. Step 3: Cross multiply
    7,782.66x = 10,740.15 × 4,245.93
  4. Step 4: Simplify right side
    7,782.66x = 45,601,925.09
  5. Step 5: Solve for x
    x = 45,601,925.09/7,782.66
  6. Step 6: Final answer
    x = 5,859.43

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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.