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Finding the Fourth Proportional to 10,445.96, 14,399.03 and 7,917.95

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Solution

The fourth proportional to 10,445.96, 14,399.03 and 7,917.95 is: 10,914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,445.96 : 14,399.03 = 7,917.95 : x
  2. Step 2: Convert to fraction form
    10,445.96/14,399.03 = 7,917.95/x
  3. Step 3: Cross multiply
    10,445.96x = 14,399.03 × 7,917.95
  4. Step 4: Simplify right side
    10,445.96x = 114,010,855.38
  5. Step 5: Solve for x
    x = 114,010,855.38/10,445.96
  6. Step 6: Final answer
    x = 10,914.35

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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.