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Finding the Fourth Proportional to 10,447.83, 14,419.98 and 7,925.49

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Solution

The fourth proportional to 10,447.83, 14,419.98 and 7,925.49 is: 10,938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.83 : 14,419.98 = 7,925.49 : x
  2. Step 2: Convert to fraction form
    10,447.83/14,419.98 = 7,925.49/x
  3. Step 3: Cross multiply
    10,447.83x = 14,419.98 × 7,925.49
  4. Step 4: Simplify right side
    10,447.83x = 114,285,407.29
  5. Step 5: Solve for x
    x = 114,285,407.29/10,447.83
  6. Step 6: Final answer
    x = 10,938.67

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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.