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Finding the Fourth Proportional to 7,701.42, 11,552.10 and 1,858.08

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Solution

The fourth proportional to 7,701.42, 11,552.10 and 1,858.08 is: 2,787.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.42 : 11,552.10 = 1,858.08 : x
  2. Step 2: Convert to fraction form
    7,701.42/11,552.10 = 1,858.08/x
  3. Step 3: Cross multiply
    7,701.42x = 11,552.10 × 1,858.08
  4. Step 4: Simplify right side
    7,701.42x = 21,464,725.97
  5. Step 5: Solve for x
    x = 21,464,725.97/7,701.42
  6. Step 6: Final answer
    x = 2,787.11

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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.