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Finding the Fourth Proportional to 10,374.85, 14,296.83 and 7,382.30

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Solution

The fourth proportional to 10,374.85, 14,296.83 and 7,382.30 is: 10,173.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.85 : 14,296.83 = 7,382.30 : x
  2. Step 2: Convert to fraction form
    10,374.85/14,296.83 = 7,382.30/x
  3. Step 3: Cross multiply
    10,374.85x = 14,296.83 × 7,382.30
  4. Step 4: Simplify right side
    10,374.85x = 105,543,488.11
  5. Step 5: Solve for x
    x = 105,543,488.11/10,374.85
  6. Step 6: Final answer
    x = 10,173.01

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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.