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Finding the Fourth Proportional to 7,048.32, 9,726.64 and 3,904.53

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Solution

The fourth proportional to 7,048.32, 9,726.64 and 3,904.53 is: 5,388.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.32 : 9,726.64 = 3,904.53 : x
  2. Step 2: Convert to fraction form
    7,048.32/9,726.64 = 3,904.53/x
  3. Step 3: Cross multiply
    7,048.32x = 9,726.64 × 3,904.53
  4. Step 4: Simplify right side
    7,048.32x = 37,977,957.68
  5. Step 5: Solve for x
    x = 37,977,957.68/7,048.32
  6. Step 6: Final answer
    x = 5,388.23

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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.