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Finding the Fourth Proportional to 10,068.96, 13,892.40 and 6,532.32

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Solution

The fourth proportional to 10,068.96, 13,892.40 and 6,532.32 is: 9,012.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068.96 : 13,892.40 = 6,532.32 : x
  2. Step 2: Convert to fraction form
    10,068.96/13,892.40 = 6,532.32/x
  3. Step 3: Cross multiply
    10,068.96x = 13,892.40 × 6,532.32
  4. Step 4: Simplify right side
    10,068.96x = 90,749,602.37
  5. Step 5: Solve for x
    x = 90,749,602.37/10,068.96
  6. Step 6: Final answer
    x = 9,012.81

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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.