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Finding the Fourth Proportional to 7,888.32, 11,830.56 and 2,958

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Solution

The fourth proportional to 7,888.32, 11,830.56 and 2,958 is: 4,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.32 : 11,830.56 = 2,958 : x
  2. Step 2: Convert to fraction form
    7,888.32/11,830.56 = 2,958/x
  3. Step 3: Cross multiply
    7,888.32x = 11,830.56 × 2,958
  4. Step 4: Simplify right side
    7,888.32x = 34,994,796.48
  5. Step 5: Solve for x
    x = 34,994,796.48/7,888.32
  6. Step 6: Final answer
    x = 4,436.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.