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Finding the Fourth Proportional to 13,797.66, 19,040.64 and 7,510.02

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Solution

The fourth proportional to 13,797.66, 19,040.64 and 7,510.02 is: 10,363.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.66 : 19,040.64 = 7,510.02 : x
  2. Step 2: Convert to fraction form
    13,797.66/19,040.64 = 7,510.02/x
  3. Step 3: Cross multiply
    13,797.66x = 19,040.64 × 7,510.02
  4. Step 4: Simplify right side
    13,797.66x = 142,995,587.21
  5. Step 5: Solve for x
    x = 142,995,587.21/13,797.66
  6. Step 6: Final answer
    x = 10,363.76

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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.