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Finding the Fourth Proportional to 7,511.86, 11,214.05 and 6,527.98

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Solution

The fourth proportional to 7,511.86, 11,214.05 and 6,527.98 is: 9,745.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,511.86 : 11,214.05 = 6,527.98 : x
  2. Step 2: Convert to fraction form
    7,511.86/11,214.05 = 6,527.98/x
  3. Step 3: Cross multiply
    7,511.86x = 11,214.05 × 6,527.98
  4. Step 4: Simplify right side
    7,511.86x = 73,205,094.12
  5. Step 5: Solve for x
    x = 73,205,094.12/7,511.86
  6. Step 6: Final answer
    x = 9,745.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.