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Finding the Fourth Proportional to 11,700.12, 16,146.18 and 6,394.98

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Solution

The fourth proportional to 11,700.12, 16,146.18 and 6,394.98 is: 8,825.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.12 : 16,146.18 = 6,394.98 : x
  2. Step 2: Convert to fraction form
    11,700.12/16,146.18 = 6,394.98/x
  3. Step 3: Cross multiply
    11,700.12x = 16,146.18 × 6,394.98
  4. Step 4: Simplify right side
    11,700.12x = 103,254,498.18
  5. Step 5: Solve for x
    x = 103,254,498.18/11,700.12
  6. Step 6: Final answer
    x = 8,825.08

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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.