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Finding the Fourth Proportional to 10,735.36, 14,814.48 and 6,019.84

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Solution

The fourth proportional to 10,735.36, 14,814.48 and 6,019.84 is: 8,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.36 : 14,814.48 = 6,019.84 : x
  2. Step 2: Convert to fraction form
    10,735.36/14,814.48 = 6,019.84/x
  3. Step 3: Cross multiply
    10,735.36x = 14,814.48 × 6,019.84
  4. Step 4: Simplify right side
    10,735.36x = 89,180,799.28
  5. Step 5: Solve for x
    x = 89,180,799.28/10,735.36
  6. Step 6: Final answer
    x = 8,307.20

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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.