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Finding the Fourth Proportional to 7,389.98, 10,195.50 and 5,689.01

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Solution

The fourth proportional to 7,389.98, 10,195.50 and 5,689.01 is: 7,848.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389.98 : 10,195.50 = 5,689.01 : x
  2. Step 2: Convert to fraction form
    7,389.98/10,195.50 = 5,689.01/x
  3. Step 3: Cross multiply
    7,389.98x = 10,195.50 × 5,689.01
  4. Step 4: Simplify right side
    7,389.98x = 58,002,293.34
  5. Step 5: Solve for x
    x = 58,002,293.34/7,389.98
  6. Step 6: Final answer
    x = 7,848.77

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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.