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Finding the Fourth Proportional to 7,465.89, 10,303.28 and 4,634.18

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Solution

The fourth proportional to 7,465.89, 10,303.28 and 4,634.18 is: 6,395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.89 : 10,303.28 = 4,634.18 : x
  2. Step 2: Convert to fraction form
    7,465.89/10,303.28 = 4,634.18/x
  3. Step 3: Cross multiply
    7,465.89x = 10,303.28 × 4,634.18
  4. Step 4: Simplify right side
    7,465.89x = 47,747,179.42
  5. Step 5: Solve for x
    x = 47,747,179.42/7,465.89
  6. Step 6: Final answer
    x = 6,395.38

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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.