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Finding the Fourth Proportional to 7,579.50, 11,368.02 and 5,381.58

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Solution

The fourth proportional to 7,579.50, 11,368.02 and 5,381.58 is: 8,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,579.50 : 11,368.02 = 5,381.58 : x
  2. Step 2: Convert to fraction form
    7,579.50/11,368.02 = 5,381.58/x
  3. Step 3: Cross multiply
    7,579.50x = 11,368.02 × 5,381.58
  4. Step 4: Simplify right side
    7,579.50x = 61,177,909.07
  5. Step 5: Solve for x
    x = 61,177,909.07/7,579.50
  6. Step 6: Final answer
    x = 8,071.50

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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.