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Finding the Fourth Proportional to 7,456.24, 10,215.12 and 7,176

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Solution

The fourth proportional to 7,456.24, 10,215.12 and 7,176 is: 9,831.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.24 : 10,215.12 = 7,176 : x
  2. Step 2: Convert to fraction form
    7,456.24/10,215.12 = 7,176/x
  3. Step 3: Cross multiply
    7,456.24x = 10,215.12 × 7,176
  4. Step 4: Simplify right side
    7,456.24x = 73,303,701.12
  5. Step 5: Solve for x
    x = 73,303,701.12/7,456.24
  6. Step 6: Final answer
    x = 9,831.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.