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Finding the Fourth Proportional to 12,602.76, 18,907.83 and 5,207.64

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Solution

The fourth proportional to 12,602.76, 18,907.83 and 5,207.64 is: 7,812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.76 : 18,907.83 = 5,207.64 : x
  2. Step 2: Convert to fraction form
    12,602.76/18,907.83 = 5,207.64/x
  3. Step 3: Cross multiply
    12,602.76x = 18,907.83 × 5,207.64
  4. Step 4: Simplify right side
    12,602.76x = 98,465,171.82
  5. Step 5: Solve for x
    x = 98,465,171.82/12,602.76
  6. Step 6: Final answer
    x = 7,812.98

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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.