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Finding the Fourth Proportional to 10,403.75, 14,352.16 and 6,817.16

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Solution

The fourth proportional to 10,403.75, 14,352.16 and 6,817.16 is: 9,404.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.75 : 14,352.16 = 6,817.16 : x
  2. Step 2: Convert to fraction form
    10,403.75/14,352.16 = 6,817.16/x
  3. Step 3: Cross multiply
    10,403.75x = 14,352.16 × 6,817.16
  4. Step 4: Simplify right side
    10,403.75x = 97,840,971.07
  5. Step 5: Solve for x
    x = 97,840,971.07/10,403.75
  6. Step 6: Final answer
    x = 9,404.39

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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.