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Finding the Fourth Proportional to 7,870.84, 10,861.99 and 4,334.18

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Solution

The fourth proportional to 7,870.84, 10,861.99 and 4,334.18 is: 5,981.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.84 : 10,861.99 = 4,334.18 : x
  2. Step 2: Convert to fraction form
    7,870.84/10,861.99 = 4,334.18/x
  3. Step 3: Cross multiply
    7,870.84x = 10,861.99 × 4,334.18
  4. Step 4: Simplify right side
    7,870.84x = 47,077,765.51
  5. Step 5: Solve for x
    x = 47,077,765.51/7,870.84
  6. Step 6: Final answer
    x = 5,981.29

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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.