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Finding the Fourth Proportional to 11,749.64, 16,214.93 and 6,444.86

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Solution

The fourth proportional to 11,749.64, 16,214.93 and 6,444.86 is: 8,894.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.64 : 16,214.93 = 6,444.86 : x
  2. Step 2: Convert to fraction form
    11,749.64/16,214.93 = 6,444.86/x
  3. Step 3: Cross multiply
    11,749.64x = 16,214.93 × 6,444.86
  4. Step 4: Simplify right side
    11,749.64x = 104,502,840.46
  5. Step 5: Solve for x
    x = 104,502,840.46/11,749.64
  6. Step 6: Final answer
    x = 8,894.14

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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.