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Finding the Fourth Proportional to 7,745.18, 11,607.50 and 4,050.50

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Solution

The fourth proportional to 7,745.18, 11,607.50 and 4,050.50 is: 6,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.18 : 11,607.50 = 4,050.50 : x
  2. Step 2: Convert to fraction form
    7,745.18/11,607.50 = 4,050.50/x
  3. Step 3: Cross multiply
    7,745.18x = 11,607.50 × 4,050.50
  4. Step 4: Simplify right side
    7,745.18x = 47,016,178.75
  5. Step 5: Solve for x
    x = 47,016,178.75/7,745.18
  6. Step 6: Final answer
    x = 6,070.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.