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Finding the Fourth Proportional to 25,310.28, 37,973.01 and 7,541.49

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Solution

The fourth proportional to 25,310.28, 37,973.01 and 7,541.49 is: 11,314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,310.28 : 37,973.01 = 7,541.49 : x
  2. Step 2: Convert to fraction form
    25,310.28/37,973.01 = 7,541.49/x
  3. Step 3: Cross multiply
    25,310.28x = 37,973.01 × 7,541.49
  4. Step 4: Simplify right side
    25,310.28x = 286,373,075.18
  5. Step 5: Solve for x
    x = 286,373,075.18/25,310.28
  6. Step 6: Final answer
    x = 11,314.50

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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.