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Finding the Fourth Proportional to 7,867.58, 10,853.79 and 4,877.42

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Solution

The fourth proportional to 7,867.58, 10,853.79 and 4,877.42 is: 6,728.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.58 : 10,853.79 = 4,877.42 : x
  2. Step 2: Convert to fraction form
    7,867.58/10,853.79 = 4,877.42/x
  3. Step 3: Cross multiply
    7,867.58x = 10,853.79 × 4,877.42
  4. Step 4: Simplify right side
    7,867.58x = 52,938,492.42
  5. Step 5: Solve for x
    x = 52,938,492.42/7,867.58
  6. Step 6: Final answer
    x = 6,728.69

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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.