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Finding the Fourth Proportional to 7,870.82, 10,862.02 and 4,334.30

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Solution

The fourth proportional to 7,870.82, 10,862.02 and 4,334.30 is: 5,981.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.82 : 10,862.02 = 4,334.30 : x
  2. Step 2: Convert to fraction form
    7,870.82/10,862.02 = 4,334.30/x
  3. Step 3: Cross multiply
    7,870.82x = 10,862.02 × 4,334.30
  4. Step 4: Simplify right side
    7,870.82x = 47,079,253.29
  5. Step 5: Solve for x
    x = 47,079,253.29/7,870.82
  6. Step 6: Final answer
    x = 5,981.49

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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.