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Finding the Fourth Proportional to 11,749.59, 16,214.63 and 6,444.32

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Solution

The fourth proportional to 11,749.59, 16,214.63 and 6,444.32 is: 8,893.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.59 : 16,214.63 = 6,444.32 : x
  2. Step 2: Convert to fraction form
    11,749.59/16,214.63 = 6,444.32/x
  3. Step 3: Cross multiply
    11,749.59x = 16,214.63 × 6,444.32
  4. Step 4: Simplify right side
    11,749.59x = 104,492,151.11
  5. Step 5: Solve for x
    x = 104,492,151.11/11,749.59
  6. Step 6: Final answer
    x = 8,893.26

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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.