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Finding the Fourth Proportional to 7,261.04, 10,023 and 4,466

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Solution

The fourth proportional to 7,261.04, 10,023 and 4,466 is: 6,164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.04 : 10,023 = 4,466 : x
  2. Step 2: Convert to fraction form
    7,261.04/10,023 = 4,466/x
  3. Step 3: Cross multiply
    7,261.04x = 10,023 × 4,466
  4. Step 4: Simplify right side
    7,261.04x = 44,762,718
  5. Step 5: Solve for x
    x = 44,762,718/7,261.04
  6. Step 6: Final answer
    x = 6,164.78

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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.