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Finding the Fourth Proportional to 7,898.96, 10,902.30 and 4,916.00

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Solution

The fourth proportional to 7,898.96, 10,902.30 and 4,916.00 is: 6,785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.96 : 10,902.30 = 4,916.00 : x
  2. Step 2: Convert to fraction form
    7,898.96/10,902.30 = 4,916.00/x
  3. Step 3: Cross multiply
    7,898.96x = 10,902.30 × 4,916.00
  4. Step 4: Simplify right side
    7,898.96x = 53,595,715.62
  5. Step 5: Solve for x
    x = 53,595,715.62/7,898.96
  6. Step 6: Final answer
    x = 6,785.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.