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Finding the Fourth Proportional to 10,693.62, 14,756.15 and 6,444.35

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Solution

The fourth proportional to 10,693.62, 14,756.15 and 6,444.35 is: 8,892.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.62 : 14,756.15 = 6,444.35 : x
  2. Step 2: Convert to fraction form
    10,693.62/14,756.15 = 6,444.35/x
  3. Step 3: Cross multiply
    10,693.62x = 14,756.15 × 6,444.35
  4. Step 4: Simplify right side
    10,693.62x = 95,093,795.25
  5. Step 5: Solve for x
    x = 95,093,795.25/10,693.62
  6. Step 6: Final answer
    x = 8,892.57

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