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Finding the Fourth Proportional to 7,335, 10,122.30 and 4,023

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Solution

The fourth proportional to 7,335, 10,122.30 and 4,023 is: 5,551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,335 : 10,122.30 = 4,023 : x
  2. Step 2: Convert to fraction form
    7,335/10,122.30 = 4,023/x
  3. Step 3: Cross multiply
    7,335x = 10,122.30 × 4,023
  4. Step 4: Simplify right side
    7,335x = 40,722,012.90
  5. Step 5: Solve for x
    x = 40,722,012.90/7,335
  6. Step 6: Final answer
    x = 5,551.74

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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.