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Finding the Fourth Proportional to 7,316.29, 11,020 and 6,803.03

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Solution

The fourth proportional to 7,316.29, 11,020 and 6,803.03 is: 10,246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,316.29 : 11,020 = 6,803.03 : x
  2. Step 2: Convert to fraction form
    7,316.29/11,020 = 6,803.03/x
  3. Step 3: Cross multiply
    7,316.29x = 11,020 × 6,803.03
  4. Step 4: Simplify right side
    7,316.29x = 74,969,390.60
  5. Step 5: Solve for x
    x = 74,969,390.60/7,316.29
  6. Step 6: Final answer
    x = 10,246.91

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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.