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Finding the Fourth Proportional to 7,701.60, 11,552.29 and 1,858.16

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Solution

The fourth proportional to 7,701.60, 11,552.29 and 1,858.16 is: 2,787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.60 : 11,552.29 = 1,858.16 : x
  2. Step 2: Convert to fraction form
    7,701.60/11,552.29 = 1,858.16/x
  3. Step 3: Cross multiply
    7,701.60x = 11,552.29 × 1,858.16
  4. Step 4: Simplify right side
    7,701.60x = 21,466,003.19
  5. Step 5: Solve for x
    x = 21,466,003.19/7,701.60
  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.