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Finding the Fourth Proportional to 10,733.61, 14,812.38 and 6,017.88

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Solution

The fourth proportional to 10,733.61, 14,812.38 and 6,017.88 is: 8,304.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,733.61 : 14,812.38 = 6,017.88 : x
  2. Step 2: Convert to fraction form
    10,733.61/14,812.38 = 6,017.88/x
  3. Step 3: Cross multiply
    10,733.61x = 14,812.38 × 6,017.88
  4. Step 4: Simplify right side
    10,733.61x = 89,139,125.35
  5. Step 5: Solve for x
    x = 89,139,125.35/10,733.61
  6. Step 6: Final answer
    x = 8,304.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.