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Finding the Fourth Proportional to 11,886.64, 16,403.52 and 7,170

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Solution

The fourth proportional to 11,886.64, 16,403.52 and 7,170 is: 9,894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.64 : 16,403.52 = 7,170 : x
  2. Step 2: Convert to fraction form
    11,886.64/16,403.52 = 7,170/x
  3. Step 3: Cross multiply
    11,886.64x = 16,403.52 × 7,170
  4. Step 4: Simplify right side
    11,886.64x = 117,613,238.40
  5. Step 5: Solve for x
    x = 117,613,238.40/11,886.64
  6. Step 6: Final answer
    x = 9,894.57

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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.