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Finding the Fourth Proportional to 10,457.91, 15,668.55 and 8,714.07

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Solution

The fourth proportional to 10,457.91, 15,668.55 and 8,714.07 is: 13,055.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.91 : 15,668.55 = 8,714.07 : x
  2. Step 2: Convert to fraction form
    10,457.91/15,668.55 = 8,714.07/x
  3. Step 3: Cross multiply
    10,457.91x = 15,668.55 × 8,714.07
  4. Step 4: Simplify right side
    10,457.91x = 136,536,841.50
  5. Step 5: Solve for x
    x = 136,536,841.50/10,457.91
  6. Step 6: Final answer
    x = 13,055.84

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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.