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Finding the Fourth Proportional to 7,298.33, 10,070.33 and 4,111.38

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Solution

The fourth proportional to 7,298.33, 10,070.33 and 4,111.38 is: 5,672.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.33 : 10,070.33 = 4,111.38 : x
  2. Step 2: Convert to fraction form
    7,298.33/10,070.33 = 4,111.38/x
  3. Step 3: Cross multiply
    7,298.33x = 10,070.33 × 4,111.38
  4. Step 4: Simplify right side
    7,298.33x = 41,402,932.80
  5. Step 5: Solve for x
    x = 41,402,932.80/7,298.33
  6. Step 6: Final answer
    x = 5,672.94

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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.