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Finding the Fourth Proportional to 7,133.41, 10,702.64 and 3,184.30

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Solution

The fourth proportional to 7,133.41, 10,702.64 and 3,184.30 is: 4,777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.41 : 10,702.64 = 3,184.30 : x
  2. Step 2: Convert to fraction form
    7,133.41/10,702.64 = 3,184.30/x
  3. Step 3: Cross multiply
    7,133.41x = 10,702.64 × 3,184.30
  4. Step 4: Simplify right side
    7,133.41x = 34,080,437.89
  5. Step 5: Solve for x
    x = 34,080,437.89/7,133.41
  6. Step 6: Final answer
    x = 4,777.58

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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.