Home / 8,175.47-11,282.02-7,506

Finding the Fourth Proportional to 8,175.47, 11,282.02 and 7,506

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Solution

The fourth proportional to 8,175.47, 11,282.02 and 7,506 is: 10,358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.47 : 11,282.02 = 7,506 : x
  2. Step 2: Convert to fraction form
    8,175.47/11,282.02 = 7,506/x
  3. Step 3: Cross multiply
    8,175.47x = 11,282.02 × 7,506
  4. Step 4: Simplify right side
    8,175.47x = 84,682,823.36
  5. Step 5: Solve for x
    x = 84,682,823.36/8,175.47
  6. Step 6: Final answer
    x = 10,358.17

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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.