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Finding the Fourth Proportional to 7,596.30, 11,389.50 and 3,152.74

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Solution

The fourth proportional to 7,596.30, 11,389.50 and 3,152.74 is: 4,727.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596.30 : 11,389.50 = 3,152.74 : x
  2. Step 2: Convert to fraction form
    7,596.30/11,389.50 = 3,152.74/x
  3. Step 3: Cross multiply
    7,596.30x = 11,389.50 × 3,152.74
  4. Step 4: Simplify right side
    7,596.30x = 35,908,140.11
  5. Step 5: Solve for x
    x = 35,908,140.11/7,596.30
  6. Step 6: Final answer
    x = 4,727.06

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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.