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Finding the Fourth Proportional to 11,700.15, 16,146.14 and 6,664.58

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Solution

The fourth proportional to 11,700.15, 16,146.14 and 6,664.58 is: 9,197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.15 : 16,146.14 = 6,664.58 : x
  2. Step 2: Convert to fraction form
    11,700.15/16,146.14 = 6,664.58/x
  3. Step 3: Cross multiply
    11,700.15x = 16,146.14 × 6,664.58
  4. Step 4: Simplify right side
    11,700.15x = 107,607,188.22
  5. Step 5: Solve for x
    x = 107,607,188.22/11,700.15
  6. Step 6: Final answer
    x = 9,197.08

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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.