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Finding the Fourth Proportional to 7,492, 11,181.03 and 6,661.65

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Solution

The fourth proportional to 7,492, 11,181.03 and 6,661.65 is: 9,941.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492 : 11,181.03 = 6,661.65 : x
  2. Step 2: Convert to fraction form
    7,492/11,181.03 = 6,661.65/x
  3. Step 3: Cross multiply
    7,492x = 11,181.03 × 6,661.65
  4. Step 4: Simplify right side
    7,492x = 74,484,108.50
  5. Step 5: Solve for x
    x = 74,484,108.50/7,492
  6. Step 6: Final answer
    x = 9,941.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.