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Finding the Fourth Proportional to 10,468.74, 15,696.25 and 3,804.00

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Solution

The fourth proportional to 10,468.74, 15,696.25 and 3,804.00 is: 5,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.74 : 15,696.25 = 3,804.00 : x
  2. Step 2: Convert to fraction form
    10,468.74/15,696.25 = 3,804.00/x
  3. Step 3: Cross multiply
    10,468.74x = 15,696.25 × 3,804.00
  4. Step 4: Simplify right side
    10,468.74x = 59,708,466.63
  5. Step 5: Solve for x
    x = 59,708,466.63/10,468.74
  6. Step 6: Final answer
    x = 5,703.50

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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.