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Finding the Fourth Proportional to 11,677.24, 16,106.88 and 6,958

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Solution

The fourth proportional to 11,677.24, 16,106.88 and 6,958 is: 9,597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.24 : 16,106.88 = 6,958 : x
  2. Step 2: Convert to fraction form
    11,677.24/16,106.88 = 6,958/x
  3. Step 3: Cross multiply
    11,677.24x = 16,106.88 × 6,958
  4. Step 4: Simplify right side
    11,677.24x = 112,071,671.04
  5. Step 5: Solve for x
    x = 112,071,671.04/11,677.24
  6. Step 6: Final answer
    x = 9,597.45

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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.