Home / 11,102.12-15,306-10,758.14

Finding the Fourth Proportional to 11,102.12, 15,306 and 10,758.14

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Solution

The fourth proportional to 11,102.12, 15,306 and 10,758.14 is: 14,831.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.12 : 15,306 = 10,758.14 : x
  2. Step 2: Convert to fraction form
    11,102.12/15,306 = 10,758.14/x
  3. Step 3: Cross multiply
    11,102.12x = 15,306 × 10,758.14
  4. Step 4: Simplify right side
    11,102.12x = 164,664,090.84
  5. Step 5: Solve for x
    x = 164,664,090.84/11,102.12
  6. Step 6: Final answer
    x = 14,831.77

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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.