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Finding the Fourth Proportional to 7,055.60, 9,736.34 and 4,071.26

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Solution

The fourth proportional to 7,055.60, 9,736.34 and 4,071.26 is: 5,618.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.60 : 9,736.34 = 4,071.26 : x
  2. Step 2: Convert to fraction form
    7,055.60/9,736.34 = 4,071.26/x
  3. Step 3: Cross multiply
    7,055.60x = 9,736.34 × 4,071.26
  4. Step 4: Simplify right side
    7,055.60x = 39,639,133.08
  5. Step 5: Solve for x
    x = 39,639,133.08/7,055.60
  6. Step 6: Final answer
    x = 5,618.11

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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.