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Finding the Fourth Proportional to 13,334.52, 18,410.88 and 8,301

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Solution

The fourth proportional to 13,334.52, 18,410.88 and 8,301 is: 11,461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,334.52 : 18,410.88 = 8,301 : x
  2. Step 2: Convert to fraction form
    13,334.52/18,410.88 = 8,301/x
  3. Step 3: Cross multiply
    13,334.52x = 18,410.88 × 8,301
  4. Step 4: Simplify right side
    13,334.52x = 152,828,714.88
  5. Step 5: Solve for x
    x = 152,828,714.88/13,334.52
  6. Step 6: Final answer
    x = 11,461.13

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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.