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Finding the Fourth Proportional to 7,316.94, 10,976.91 and 2,386.47

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Solution

The fourth proportional to 7,316.94, 10,976.91 and 2,386.47 is: 3,580.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,316.94 : 10,976.91 = 2,386.47 : x
  2. Step 2: Convert to fraction form
    7,316.94/10,976.91 = 2,386.47/x
  3. Step 3: Cross multiply
    7,316.94x = 10,976.91 × 2,386.47
  4. Step 4: Simplify right side
    7,316.94x = 26,196,066.41
  5. Step 5: Solve for x
    x = 26,196,066.41/7,316.94
  6. Step 6: Final answer
    x = 3,580.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.