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Finding the Fourth Proportional to 8,918.64, 12,291.12 and 7,315.95

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Solution

The fourth proportional to 8,918.64, 12,291.12 and 7,315.95 is: 10,082.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,918.64 : 12,291.12 = 7,315.95 : x
  2. Step 2: Convert to fraction form
    8,918.64/12,291.12 = 7,315.95/x
  3. Step 3: Cross multiply
    8,918.64x = 12,291.12 × 7,315.95
  4. Step 4: Simplify right side
    8,918.64x = 89,921,219.36
  5. Step 5: Solve for x
    x = 89,921,219.36/8,918.64
  6. Step 6: Final answer
    x = 10,082.39

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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.