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Finding the Fourth Proportional to 7,606.93, 11,394.50 and 6,118.10

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Solution

The fourth proportional to 7,606.93, 11,394.50 and 6,118.10 is: 9,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.93 : 11,394.50 = 6,118.10 : x
  2. Step 2: Convert to fraction form
    7,606.93/11,394.50 = 6,118.10/x
  3. Step 3: Cross multiply
    7,606.93x = 11,394.50 × 6,118.10
  4. Step 4: Simplify right side
    7,606.93x = 69,712,688.35
  5. Step 5: Solve for x
    x = 69,712,688.35/7,606.93
  6. Step 6: Final answer
    x = 9,164.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.