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Finding the Fourth Proportional to 10,043.60, 13,873.38 and 7,714.52

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Solution

The fourth proportional to 10,043.60, 13,873.38 and 7,714.52 is: 10,656.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,043.60 : 13,873.38 = 7,714.52 : x
  2. Step 2: Convert to fraction form
    10,043.60/13,873.38 = 7,714.52/x
  3. Step 3: Cross multiply
    10,043.60x = 13,873.38 × 7,714.52
  4. Step 4: Simplify right side
    10,043.60x = 107,026,467.48
  5. Step 5: Solve for x
    x = 107,026,467.48/10,043.60
  6. Step 6: Final answer
    x = 10,656.19

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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.