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Finding the Fourth Proportional to 7,482, 10,325.16 and 4,340.10

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Solution

The fourth proportional to 7,482, 10,325.16 and 4,340.10 is: 5,989.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,482 : 10,325.16 = 4,340.10 : x
  2. Step 2: Convert to fraction form
    7,482/10,325.16 = 4,340.10/x
  3. Step 3: Cross multiply
    7,482x = 10,325.16 × 4,340.10
  4. Step 4: Simplify right side
    7,482x = 44,812,226.92
  5. Step 5: Solve for x
    x = 44,812,226.92/7,482
  6. Step 6: Final answer
    x = 5,989.34

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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.