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Finding the Fourth Proportional to 10,356.35, 14,286.87 and 7,000.33

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Solution

The fourth proportional to 10,356.35, 14,286.87 and 7,000.33 is: 9,657.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.35 : 14,286.87 = 7,000.33 : x
  2. Step 2: Convert to fraction form
    10,356.35/14,286.87 = 7,000.33/x
  3. Step 3: Cross multiply
    10,356.35x = 14,286.87 × 7,000.33
  4. Step 4: Simplify right side
    10,356.35x = 100,012,804.67
  5. Step 5: Solve for x
    x = 100,012,804.67/10,356.35
  6. Step 6: Final answer
    x = 9,657.15

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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.