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Finding the Fourth Proportional to 10,645.49, 14,690.59 and 5,929.67

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Solution

The fourth proportional to 10,645.49, 14,690.59 and 5,929.67 is: 8,182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.49 : 14,690.59 = 5,929.67 : x
  2. Step 2: Convert to fraction form
    10,645.49/14,690.59 = 5,929.67/x
  3. Step 3: Cross multiply
    10,645.49x = 14,690.59 × 5,929.67
  4. Step 4: Simplify right side
    10,645.49x = 87,110,350.81
  5. Step 5: Solve for x
    x = 87,110,350.81/10,645.49
  6. Step 6: Final answer
    x = 8,182.84

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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.