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Finding the Fourth Proportional to 7,007.12, 10,510.68 and 2,390

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Solution

The fourth proportional to 7,007.12, 10,510.68 and 2,390 is: 3,585

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.12 : 10,510.68 = 2,390 : x
  2. Step 2: Convert to fraction form
    7,007.12/10,510.68 = 2,390/x
  3. Step 3: Cross multiply
    7,007.12x = 10,510.68 × 2,390
  4. Step 4: Simplify right side
    7,007.12x = 25,120,525.20
  5. Step 5: Solve for x
    x = 25,120,525.20/7,007.12
  6. Step 6: Final answer
    x = 3,585

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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.