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Finding the Fourth Proportional to 6,415.06, 8,852.93 and 4,025.13

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Solution

The fourth proportional to 6,415.06, 8,852.93 and 4,025.13 is: 5,554.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.06 : 8,852.93 = 4,025.13 : x
  2. Step 2: Convert to fraction form
    6,415.06/8,852.93 = 4,025.13/x
  3. Step 3: Cross multiply
    6,415.06x = 8,852.93 × 4,025.13
  4. Step 4: Simplify right side
    6,415.06x = 35,634,194.13
  5. Step 5: Solve for x
    x = 35,634,194.13/6,415.06
  6. Step 6: Final answer
    x = 5,554.77

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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.