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Finding the Fourth Proportional to 6,415.52, 8,853.84 and 4,056.80

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Solution

The fourth proportional to 6,415.52, 8,853.84 and 4,056.80 is: 5,598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.52 : 8,853.84 = 4,056.80 : x
  2. Step 2: Convert to fraction form
    6,415.52/8,853.84 = 4,056.80/x
  3. Step 3: Cross multiply
    6,415.52x = 8,853.84 × 4,056.80
  4. Step 4: Simplify right side
    6,415.52x = 35,918,258.11
  5. Step 5: Solve for x
    x = 35,918,258.11/6,415.52
  6. Step 6: Final answer
    x = 5,598.65

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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.