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Finding the Fourth Proportional to 7,864.95, 10,852.43 and 4,678.19

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Solution

The fourth proportional to 7,864.95, 10,852.43 and 4,678.19 is: 6,455.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.95 : 10,852.43 = 4,678.19 : x
  2. Step 2: Convert to fraction form
    7,864.95/10,852.43 = 4,678.19/x
  3. Step 3: Cross multiply
    7,864.95x = 10,852.43 × 4,678.19
  4. Step 4: Simplify right side
    7,864.95x = 50,769,651.85
  5. Step 5: Solve for x
    x = 50,769,651.85/7,864.95
  6. Step 6: Final answer
    x = 6,455.18

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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.