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Finding the Fourth Proportional to 10,914.35, 16,378.70 and 5,987.45

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Solution

The fourth proportional to 10,914.35, 16,378.70 and 5,987.45 is: 8,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.35 : 16,378.70 = 5,987.45 : x
  2. Step 2: Convert to fraction form
    10,914.35/16,378.70 = 5,987.45/x
  3. Step 3: Cross multiply
    10,914.35x = 16,378.70 × 5,987.45
  4. Step 4: Simplify right side
    10,914.35x = 98,066,535.48
  5. Step 5: Solve for x
    x = 98,066,535.48/10,914.35
  6. Step 6: Final answer
    x = 8,985.10

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