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Finding the Fourth Proportional to 6,458.24, 8,916.65 and 4,963.40

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Solution

The fourth proportional to 6,458.24, 8,916.65 and 4,963.40 is: 6,852.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.24 : 8,916.65 = 4,963.40 : x
  2. Step 2: Convert to fraction form
    6,458.24/8,916.65 = 4,963.40/x
  3. Step 3: Cross multiply
    6,458.24x = 8,916.65 × 4,963.40
  4. Step 4: Simplify right side
    6,458.24x = 44,256,900.61
  5. Step 5: Solve for x
    x = 44,256,900.61/6,458.24
  6. Step 6: Final answer
    x = 6,852.78

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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.