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Finding the Fourth Proportional to 10,746.34, 16,114.80 and 4,416.88

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Solution

The fourth proportional to 10,746.34, 16,114.80 and 4,416.88 is: 6,623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746.34 : 16,114.80 = 4,416.88 : x
  2. Step 2: Convert to fraction form
    10,746.34/16,114.80 = 4,416.88/x
  3. Step 3: Cross multiply
    10,746.34x = 16,114.80 × 4,416.88
  4. Step 4: Simplify right side
    10,746.34x = 71,177,137.82
  5. Step 5: Solve for x
    x = 71,177,137.82/10,746.34
  6. Step 6: Final answer
    x = 6,623.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.