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Finding the Fourth Proportional to 10,714.30, 14,786.59 and 7,894.55

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Solution

The fourth proportional to 10,714.30, 14,786.59 and 7,894.55 is: 10,895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.30 : 14,786.59 = 7,894.55 : x
  2. Step 2: Convert to fraction form
    10,714.30/14,786.59 = 7,894.55/x
  3. Step 3: Cross multiply
    10,714.30x = 14,786.59 × 7,894.55
  4. Step 4: Simplify right side
    10,714.30x = 116,733,491.31
  5. Step 5: Solve for x
    x = 116,733,491.31/10,714.30
  6. Step 6: Final answer
    x = 10,895.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.