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Finding the Fourth Proportional to 7,567.66, 11,359.64 and 6,403.08

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Solution

The fourth proportional to 7,567.66, 11,359.64 and 6,403.08 is: 9,611.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.66 : 11,359.64 = 6,403.08 : x
  2. Step 2: Convert to fraction form
    7,567.66/11,359.64 = 6,403.08/x
  3. Step 3: Cross multiply
    7,567.66x = 11,359.64 × 6,403.08
  4. Step 4: Simplify right side
    7,567.66x = 72,736,683.69
  5. Step 5: Solve for x
    x = 72,736,683.69/7,567.66
  6. Step 6: Final answer
    x = 9,611.52

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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.