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Finding the Fourth Proportional to 10,566.37, 14,584.22 and 6,592.11

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Solution

The fourth proportional to 10,566.37, 14,584.22 and 6,592.11 is: 9,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566.37 : 14,584.22 = 6,592.11 : x
  2. Step 2: Convert to fraction form
    10,566.37/14,584.22 = 6,592.11/x
  3. Step 3: Cross multiply
    10,566.37x = 14,584.22 × 6,592.11
  4. Step 4: Simplify right side
    10,566.37x = 96,140,782.50
  5. Step 5: Solve for x
    x = 96,140,782.50/10,566.37
  6. Step 6: Final answer
    x = 9,098.75

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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.