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Finding the Fourth Proportional to 7,538.36, 11,365.38 and 7,030.17

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Solution

The fourth proportional to 7,538.36, 11,365.38 and 7,030.17 is: 10,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.36 : 11,365.38 = 7,030.17 : x
  2. Step 2: Convert to fraction form
    7,538.36/11,365.38 = 7,030.17/x
  3. Step 3: Cross multiply
    7,538.36x = 11,365.38 × 7,030.17
  4. Step 4: Simplify right side
    7,538.36x = 79,900,553.51
  5. Step 5: Solve for x
    x = 79,900,553.51/7,538.36
  6. Step 6: Final answer
    x = 10,599.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.