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Finding the Fourth Proportional to 7,898.24, 10,902.30 and 4,916.63

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Solution

The fourth proportional to 7,898.24, 10,902.30 and 4,916.63 is: 6,786.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.24 : 10,902.30 = 4,916.63 : x
  2. Step 2: Convert to fraction form
    7,898.24/10,902.30 = 4,916.63/x
  3. Step 3: Cross multiply
    7,898.24x = 10,902.30 × 4,916.63
  4. Step 4: Simplify right side
    7,898.24x = 53,602,584.07
  5. Step 5: Solve for x
    x = 53,602,584.07/7,898.24
  6. Step 6: Final answer
    x = 6,786.65

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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.