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Finding the Fourth Proportional to 11,810.16, 17,717.52 and 4,019.52

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Solution

The fourth proportional to 11,810.16, 17,717.52 and 4,019.52 is: 6,030.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.16 : 17,717.52 = 4,019.52 : x
  2. Step 2: Convert to fraction form
    11,810.16/17,717.52 = 4,019.52/x
  3. Step 3: Cross multiply
    11,810.16x = 17,717.52 × 4,019.52
  4. Step 4: Simplify right side
    11,810.16x = 71,215,925.99
  5. Step 5: Solve for x
    x = 71,215,925.99/11,810.16
  6. Step 6: Final answer
    x = 6,030.06

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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.