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Finding the Fourth Proportional to 10,633.55, 15,941.07 and 4,389.66

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Solution

The fourth proportional to 10,633.55, 15,941.07 and 4,389.66 is: 6,580.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633.55 : 15,941.07 = 4,389.66 : x
  2. Step 2: Convert to fraction form
    10,633.55/15,941.07 = 4,389.66/x
  3. Step 3: Cross multiply
    10,633.55x = 15,941.07 × 4,389.66
  4. Step 4: Simplify right side
    10,633.55x = 69,975,877.34
  5. Step 5: Solve for x
    x = 69,975,877.34/10,633.55
  6. Step 6: Final answer
    x = 6,580.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.