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Finding the Fourth Proportional to 10,509.36, 14,505.39 and 6,035.46

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Solution

The fourth proportional to 10,509.36, 14,505.39 and 6,035.46 is: 8,330.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.36 : 14,505.39 = 6,035.46 : x
  2. Step 2: Convert to fraction form
    10,509.36/14,505.39 = 6,035.46/x
  3. Step 3: Cross multiply
    10,509.36x = 14,505.39 × 6,035.46
  4. Step 4: Simplify right side
    10,509.36x = 87,546,701.13
  5. Step 5: Solve for x
    x = 87,546,701.13/10,509.36
  6. Step 6: Final answer
    x = 8,330.36

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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.