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Finding the Fourth Proportional to 11,838.88, 17,746.35 and 7,681.51

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Solution

The fourth proportional to 11,838.88, 17,746.35 and 7,681.51 is: 11,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.88 : 17,746.35 = 7,681.51 : x
  2. Step 2: Convert to fraction form
    11,838.88/17,746.35 = 7,681.51/x
  3. Step 3: Cross multiply
    11,838.88x = 17,746.35 × 7,681.51
  4. Step 4: Simplify right side
    11,838.88x = 136,318,764.99
  5. Step 5: Solve for x
    x = 136,318,764.99/11,838.88
  6. Step 6: Final answer
    x = 11,514.50

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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.