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Finding the Fourth Proportional to 8,927.11, 13,389.88 and 5,416.08

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Solution

The fourth proportional to 8,927.11, 13,389.88 and 5,416.08 is: 8,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,927.11 : 13,389.88 = 5,416.08 : x
  2. Step 2: Convert to fraction form
    8,927.11/13,389.88 = 5,416.08/x
  3. Step 3: Cross multiply
    8,927.11x = 13,389.88 × 5,416.08
  4. Step 4: Simplify right side
    8,927.11x = 72,520,661.27
  5. Step 5: Solve for x
    x = 72,520,661.27/8,927.11
  6. Step 6: Final answer
    x = 8,123.64

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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.