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Finding the Fourth Proportional to 7,428, 11,135.79 and 3,048.60

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Solution

The fourth proportional to 7,428, 11,135.79 and 3,048.60 is: 4,570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,428 : 11,135.79 = 3,048.60 : x
  2. Step 2: Convert to fraction form
    7,428/11,135.79 = 3,048.60/x
  3. Step 3: Cross multiply
    7,428x = 11,135.79 × 3,048.60
  4. Step 4: Simplify right side
    7,428x = 33,948,569.39
  5. Step 5: Solve for x
    x = 33,948,569.39/7,428
  6. Step 6: Final answer
    x = 4,570.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.