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Finding the Fourth Proportional to 7,898.00, 10,899.47 and 4,541.49

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Solution

The fourth proportional to 7,898.00, 10,899.47 and 4,541.49 is: 6,267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.00 : 10,899.47 = 4,541.49 : x
  2. Step 2: Convert to fraction form
    7,898.00/10,899.47 = 4,541.49/x
  3. Step 3: Cross multiply
    7,898.00x = 10,899.47 × 4,541.49
  4. Step 4: Simplify right side
    7,898.00x = 49,499,845.36
  5. Step 5: Solve for x
    x = 49,499,845.36/7,898.00
  6. Step 6: Final answer
    x = 6,267.39

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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.