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Finding the Fourth Proportional to 6,407.04, 8,836.74 and 4,048.32

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Solution

The fourth proportional to 6,407.04, 8,836.74 and 4,048.32 is: 5,583.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.04 : 8,836.74 = 4,048.32 : x
  2. Step 2: Convert to fraction form
    6,407.04/8,836.74 = 4,048.32/x
  3. Step 3: Cross multiply
    6,407.04x = 8,836.74 × 4,048.32
  4. Step 4: Simplify right side
    6,407.04x = 35,773,951.28
  5. Step 5: Solve for x
    x = 35,773,951.28/6,407.04
  6. Step 6: Final answer
    x = 5,583.54

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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.