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Finding the Fourth Proportional to 10,698.30, 14,762.79 and 5,981.67

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Solution

The fourth proportional to 10,698.30, 14,762.79 and 5,981.67 is: 8,254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.30 : 14,762.79 = 5,981.67 : x
  2. Step 2: Convert to fraction form
    10,698.30/14,762.79 = 5,981.67/x
  3. Step 3: Cross multiply
    10,698.30x = 14,762.79 × 5,981.67
  4. Step 4: Simplify right side
    10,698.30x = 88,306,138.06
  5. Step 5: Solve for x
    x = 88,306,138.06/10,698.30
  6. Step 6: Final answer
    x = 8,254.22

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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.