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Finding the Fourth Proportional to 7,328.58, 10,974.64 and 5,127

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Solution

The fourth proportional to 7,328.58, 10,974.64 and 5,127 is: 7,677.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,328.58 : 10,974.64 = 5,127 : x
  2. Step 2: Convert to fraction form
    7,328.58/10,974.64 = 5,127/x
  3. Step 3: Cross multiply
    7,328.58x = 10,974.64 × 5,127
  4. Step 4: Simplify right side
    7,328.58x = 56,266,979.28
  5. Step 5: Solve for x
    x = 56,266,979.28/7,328.58
  6. Step 6: Final answer
    x = 7,677.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.