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Finding the Fourth Proportional to 7,701.53, 11,552.30 and 1,858.14

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Solution

The fourth proportional to 7,701.53, 11,552.30 and 1,858.14 is: 2,787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.53 : 11,552.30 = 1,858.14 : x
  2. Step 2: Convert to fraction form
    7,701.53/11,552.30 = 1,858.14/x
  3. Step 3: Cross multiply
    7,701.53x = 11,552.30 × 1,858.14
  4. Step 4: Simplify right side
    7,701.53x = 21,465,783.17
  5. Step 5: Solve for x
    x = 21,465,783.17/7,701.53
  6. Step 6: Final answer
    x = 2,787.21

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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.