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Finding the Fourth Proportional to 6,854.47, 10,283.49 and 2,411.95

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Solution

The fourth proportional to 6,854.47, 10,283.49 and 2,411.95 is: 3,618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.47 : 10,283.49 = 2,411.95 : x
  2. Step 2: Convert to fraction form
    6,854.47/10,283.49 = 2,411.95/x
  3. Step 3: Cross multiply
    6,854.47x = 10,283.49 × 2,411.95
  4. Step 4: Simplify right side
    6,854.47x = 24,803,263.71
  5. Step 5: Solve for x
    x = 24,803,263.71/6,854.47
  6. Step 6: Final answer
    x = 3,618.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.