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Finding the Fourth Proportional to 8,325.17, 11,491.03 and 4,970.25

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Solution

The fourth proportional to 8,325.17, 11,491.03 and 4,970.25 is: 6,860.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,325.17 : 11,491.03 = 4,970.25 : x
  2. Step 2: Convert to fraction form
    8,325.17/11,491.03 = 4,970.25/x
  3. Step 3: Cross multiply
    8,325.17x = 11,491.03 × 4,970.25
  4. Step 4: Simplify right side
    8,325.17x = 57,113,291.86
  5. Step 5: Solve for x
    x = 57,113,291.86/8,325.17
  6. Step 6: Final answer
    x = 6,860.32

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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.