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Finding the Fourth Proportional to 10,335.40, 14,262.89 and 6,355.67

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Solution

The fourth proportional to 10,335.40, 14,262.89 and 6,355.67 is: 8,770.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.40 : 14,262.89 = 6,355.67 : x
  2. Step 2: Convert to fraction form
    10,335.40/14,262.89 = 6,355.67/x
  3. Step 3: Cross multiply
    10,335.40x = 14,262.89 × 6,355.67
  4. Step 4: Simplify right side
    10,335.40x = 90,650,118.99
  5. Step 5: Solve for x
    x = 90,650,118.99/10,335.40
  6. Step 6: Final answer
    x = 8,770.84

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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.