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Finding the Fourth Proportional to 8,954.10, 12,356.46 and 4,975.16

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Solution

The fourth proportional to 8,954.10, 12,356.46 and 4,975.16 is: 6,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954.10 : 12,356.46 = 4,975.16 : x
  2. Step 2: Convert to fraction form
    8,954.10/12,356.46 = 4,975.16/x
  3. Step 3: Cross multiply
    8,954.10x = 12,356.46 × 4,975.16
  4. Step 4: Simplify right side
    8,954.10x = 61,475,303.75
  5. Step 5: Solve for x
    x = 61,475,303.75/8,954.10
  6. Step 6: Final answer
    x = 6,865.60

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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.