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Finding the Fourth Proportional to 7,784.90, 10,743.18 and 4,427.64

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Solution

The fourth proportional to 7,784.90, 10,743.18 and 4,427.64 is: 6,110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.90 : 10,743.18 = 4,427.64 : x
  2. Step 2: Convert to fraction form
    7,784.90/10,743.18 = 4,427.64/x
  3. Step 3: Cross multiply
    7,784.90x = 10,743.18 × 4,427.64
  4. Step 4: Simplify right side
    7,784.90x = 47,566,933.50
  5. Step 5: Solve for x
    x = 47,566,933.50/7,784.90
  6. Step 6: Final answer
    x = 6,110.15

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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.