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Finding the Fourth Proportional to 9,116.08, 12,580.02 and 5,137.11

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Solution

The fourth proportional to 9,116.08, 12,580.02 and 5,137.11 is: 7,089.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.08 : 12,580.02 = 5,137.11 : x
  2. Step 2: Convert to fraction form
    9,116.08/12,580.02 = 5,137.11/x
  3. Step 3: Cross multiply
    9,116.08x = 12,580.02 × 5,137.11
  4. Step 4: Simplify right side
    9,116.08x = 64,624,952.31
  5. Step 5: Solve for x
    x = 64,624,952.31/9,116.08
  6. Step 6: Final answer
    x = 7,089.12

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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.