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Finding the Fourth Proportional to 8,405.30, 11,599.80 and 5,567.72

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Solution

The fourth proportional to 8,405.30, 11,599.80 and 5,567.72 is: 7,683.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.30 : 11,599.80 = 5,567.72 : x
  2. Step 2: Convert to fraction form
    8,405.30/11,599.80 = 5,567.72/x
  3. Step 3: Cross multiply
    8,405.30x = 11,599.80 × 5,567.72
  4. Step 4: Simplify right side
    8,405.30x = 64,584,438.46
  5. Step 5: Solve for x
    x = 64,584,438.46/8,405.30
  6. Step 6: Final answer
    x = 7,683.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.