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Finding the Fourth Proportional to 10,742.66, 16,113.74 and 6,328.32

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Solution

The fourth proportional to 10,742.66, 16,113.74 and 6,328.32 is: 9,492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742.66 : 16,113.74 = 6,328.32 : x
  2. Step 2: Convert to fraction form
    10,742.66/16,113.74 = 6,328.32/x
  3. Step 3: Cross multiply
    10,742.66x = 16,113.74 × 6,328.32
  4. Step 4: Simplify right side
    10,742.66x = 101,972,856.37
  5. Step 5: Solve for x
    x = 101,972,856.37/10,742.66
  6. Step 6: Final answer
    x = 9,492.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.