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Finding the Fourth Proportional to 10,350.40, 14,285.55 and 6,813.40

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Solution

The fourth proportional to 10,350.40, 14,285.55 and 6,813.40 is: 9,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,350.40 : 14,285.55 = 6,813.40 : x
  2. Step 2: Convert to fraction form
    10,350.40/14,285.55 = 6,813.40/x
  3. Step 3: Cross multiply
    10,350.40x = 14,285.55 × 6,813.40
  4. Step 4: Simplify right side
    10,350.40x = 97,333,166.37
  5. Step 5: Solve for x
    x = 97,333,166.37/10,350.40
  6. Step 6: Final answer
    x = 9,403.81

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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.