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Finding the Fourth Proportional to 7,533, 10,395.54 and 4,389.19

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Solution

The fourth proportional to 7,533, 10,395.54 and 4,389.19 is: 6,057.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533 : 10,395.54 = 4,389.19 : x
  2. Step 2: Convert to fraction form
    7,533/10,395.54 = 4,389.19/x
  3. Step 3: Cross multiply
    7,533x = 10,395.54 × 4,389.19
  4. Step 4: Simplify right side
    7,533x = 45,627,974.22
  5. Step 5: Solve for x
    x = 45,627,974.22/7,533
  6. Step 6: Final answer
    x = 6,057.08

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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.