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Finding the Fourth Proportional to 7,597.79, 11,388.98 and 3,643.23

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Solution

The fourth proportional to 7,597.79, 11,388.98 and 3,643.23 is: 5,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.79 : 11,388.98 = 3,643.23 : x
  2. Step 2: Convert to fraction form
    7,597.79/11,388.98 = 3,643.23/x
  3. Step 3: Cross multiply
    7,597.79x = 11,388.98 × 3,643.23
  4. Step 4: Simplify right side
    7,597.79x = 41,492,655.39
  5. Step 5: Solve for x
    x = 41,492,655.39/7,597.79
  6. Step 6: Final answer
    x = 5,461.15

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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.