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Finding the Fourth Proportional to 7,378.84, 10,184.94 and 4,862.80

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Solution

The fourth proportional to 7,378.84, 10,184.94 and 4,862.80 is: 6,712.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.84 : 10,184.94 = 4,862.80 : x
  2. Step 2: Convert to fraction form
    7,378.84/10,184.94 = 4,862.80/x
  3. Step 3: Cross multiply
    7,378.84x = 10,184.94 × 4,862.80
  4. Step 4: Simplify right side
    7,378.84x = 49,527,326.23
  5. Step 5: Solve for x
    x = 49,527,326.23/7,378.84
  6. Step 6: Final answer
    x = 6,712.07

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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.