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Finding the Fourth Proportional to 7,729.16, 10,666.08 and 4,371.84

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Solution

The fourth proportional to 7,729.16, 10,666.08 and 4,371.84 is: 6,033.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.16 : 10,666.08 = 4,371.84 : x
  2. Step 2: Convert to fraction form
    7,729.16/10,666.08 = 4,371.84/x
  3. Step 3: Cross multiply
    7,729.16x = 10,666.08 × 4,371.84
  4. Step 4: Simplify right side
    7,729.16x = 46,630,395.19
  5. Step 5: Solve for x
    x = 46,630,395.19/7,729.16
  6. Step 6: Final answer
    x = 6,033.05

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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.