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Finding the Fourth Proportional to 10,535.70, 14,539.68 and 6,059.44

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Solution

The fourth proportional to 10,535.70, 14,539.68 and 6,059.44 is: 8,362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.70 : 14,539.68 = 6,059.44 : x
  2. Step 2: Convert to fraction form
    10,535.70/14,539.68 = 6,059.44/x
  3. Step 3: Cross multiply
    10,535.70x = 14,539.68 × 6,059.44
  4. Step 4: Simplify right side
    10,535.70x = 88,102,319.71
  5. Step 5: Solve for x
    x = 88,102,319.71/10,535.70
  6. Step 6: Final answer
    x = 8,362.27

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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.