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Finding the Fourth Proportional to 11,742.61, 16,210.34 and 7,269.28

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Solution

The fourth proportional to 11,742.61, 16,210.34 and 7,269.28 is: 10,035.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742.61 : 16,210.34 = 7,269.28 : x
  2. Step 2: Convert to fraction form
    11,742.61/16,210.34 = 7,269.28/x
  3. Step 3: Cross multiply
    11,742.61x = 16,210.34 × 7,269.28
  4. Step 4: Simplify right side
    11,742.61x = 117,837,511.53
  5. Step 5: Solve for x
    x = 117,837,511.53/11,742.61
  6. Step 6: Final answer
    x = 10,035.04

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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.