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Finding the Fourth Proportional to 7,703.84, 10,620.24 and 5,492

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Solution

The fourth proportional to 7,703.84, 10,620.24 and 5,492 is: 7,571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.84 : 10,620.24 = 5,492 : x
  2. Step 2: Convert to fraction form
    7,703.84/10,620.24 = 5,492/x
  3. Step 3: Cross multiply
    7,703.84x = 10,620.24 × 5,492
  4. Step 4: Simplify right side
    7,703.84x = 58,326,358.08
  5. Step 5: Solve for x
    x = 58,326,358.08/7,703.84
  6. Step 6: Final answer
    x = 7,571.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.