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Finding the Fourth Proportional to 7,536, 11,307.96 and 5,473.05

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Solution

The fourth proportional to 7,536, 11,307.96 and 5,473.05 is: 8,212.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536 : 11,307.96 = 5,473.05 : x
  2. Step 2: Convert to fraction form
    7,536/11,307.96 = 5,473.05/x
  3. Step 3: Cross multiply
    7,536x = 11,307.96 × 5,473.05
  4. Step 4: Simplify right side
    7,536x = 61,889,030.48
  5. Step 5: Solve for x
    x = 61,889,030.48/7,536
  6. Step 6: Final answer
    x = 8,212.45

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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.