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Finding the Fourth Proportional to 5,895.36, 8,143.20 and 5,123.52

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Solution

The fourth proportional to 5,895.36, 8,143.20 and 5,123.52 is: 7,077.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.36 : 8,143.20 = 5,123.52 : x
  2. Step 2: Convert to fraction form
    5,895.36/8,143.20 = 5,123.52/x
  3. Step 3: Cross multiply
    5,895.36x = 8,143.20 × 5,123.52
  4. Step 4: Simplify right side
    5,895.36x = 41,721,848.06
  5. Step 5: Solve for x
    x = 41,721,848.06/5,895.36
  6. Step 6: Final answer
    x = 7,077.07

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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.