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Finding the Fourth Proportional to 27,135.62, 40,697.94 and 7,412.53

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Solution

The fourth proportional to 27,135.62, 40,697.94 and 7,412.53 is: 11,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,135.62 : 40,697.94 = 7,412.53 : x
  2. Step 2: Convert to fraction form
    27,135.62/40,697.94 = 7,412.53/x
  3. Step 3: Cross multiply
    27,135.62x = 40,697.94 × 7,412.53
  4. Step 4: Simplify right side
    27,135.62x = 301,674,701.19
  5. Step 5: Solve for x
    x = 301,674,701.19/27,135.62
  6. Step 6: Final answer
    x = 11,117.30

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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.