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Finding the Fourth Proportional to 10,536.16, 14,539.16 and 6,059.90

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Solution

The fourth proportional to 10,536.16, 14,539.16 and 6,059.90 is: 8,362.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.16 : 14,539.16 = 6,059.90 : x
  2. Step 2: Convert to fraction form
    10,536.16/14,539.16 = 6,059.90/x
  3. Step 3: Cross multiply
    10,536.16x = 14,539.16 × 6,059.90
  4. Step 4: Simplify right side
    10,536.16x = 88,105,855.68
  5. Step 5: Solve for x
    x = 88,105,855.68/10,536.16
  6. Step 6: Final answer
    x = 8,362.24

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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.