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Finding the Fourth Proportional to 7,883.42, 10,878.35 and 4,858.07

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Solution

The fourth proportional to 7,883.42, 10,878.35 and 4,858.07 is: 6,703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.42 : 10,878.35 = 4,858.07 : x
  2. Step 2: Convert to fraction form
    7,883.42/10,878.35 = 4,858.07/x
  3. Step 3: Cross multiply
    7,883.42x = 10,878.35 × 4,858.07
  4. Step 4: Simplify right side
    7,883.42x = 52,847,707.10
  5. Step 5: Solve for x
    x = 52,847,707.10/7,883.42
  6. Step 6: Final answer
    x = 6,703.66

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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.