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Finding the Fourth Proportional to 7,852.95, 10,836.81 and 4,316.15

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Solution

The fourth proportional to 7,852.95, 10,836.81 and 4,316.15 is: 5,956.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.95 : 10,836.81 = 4,316.15 : x
  2. Step 2: Convert to fraction form
    7,852.95/10,836.81 = 4,316.15/x
  3. Step 3: Cross multiply
    7,852.95x = 10,836.81 × 4,316.15
  4. Step 4: Simplify right side
    7,852.95x = 46,773,324.57
  5. Step 5: Solve for x
    x = 46,773,324.57/7,852.95
  6. Step 6: Final answer
    x = 5,956.15

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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.