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Finding the Fourth Proportional to 12,710.16, 19,065.60 and 3,476.16

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Solution

The fourth proportional to 12,710.16, 19,065.60 and 3,476.16 is: 5,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.16 : 19,065.60 = 3,476.16 : x
  2. Step 2: Convert to fraction form
    12,710.16/19,065.60 = 3,476.16/x
  3. Step 3: Cross multiply
    12,710.16x = 19,065.60 × 3,476.16
  4. Step 4: Simplify right side
    12,710.16x = 66,275,076.10
  5. Step 5: Solve for x
    x = 66,275,076.10/12,710.16
  6. Step 6: Final answer
    x = 5,214.34

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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.