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Finding the Fourth Proportional to 7,005.86, 10,509.06 and 3,261.14

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Solution

The fourth proportional to 7,005.86, 10,509.06 and 3,261.14 is: 4,891.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.86 : 10,509.06 = 3,261.14 : x
  2. Step 2: Convert to fraction form
    7,005.86/10,509.06 = 3,261.14/x
  3. Step 3: Cross multiply
    7,005.86x = 10,509.06 × 3,261.14
  4. Step 4: Simplify right side
    7,005.86x = 34,271,515.93
  5. Step 5: Solve for x
    x = 34,271,515.93/7,005.86
  6. Step 6: Final answer
    x = 4,891.84

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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.