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Finding the Fourth Proportional to 7,315.66, 10,095.84 and 4,129

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Solution

The fourth proportional to 7,315.66, 10,095.84 and 4,129 is: 5,698.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.66 : 10,095.84 = 4,129 : x
  2. Step 2: Convert to fraction form
    7,315.66/10,095.84 = 4,129/x
  3. Step 3: Cross multiply
    7,315.66x = 10,095.84 × 4,129
  4. Step 4: Simplify right side
    7,315.66x = 41,685,723.36
  5. Step 5: Solve for x
    x = 41,685,723.36/7,315.66
  6. Step 6: Final answer
    x = 5,698.15

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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.