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Finding the Fourth Proportional to 7,039.51, 9,714.53 and 4,055.35

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Solution

The fourth proportional to 7,039.51, 9,714.53 and 4,055.35 is: 5,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.51 : 9,714.53 = 4,055.35 : x
  2. Step 2: Convert to fraction form
    7,039.51/9,714.53 = 4,055.35/x
  3. Step 3: Cross multiply
    7,039.51x = 9,714.53 × 4,055.35
  4. Step 4: Simplify right side
    7,039.51x = 39,395,819.24
  5. Step 5: Solve for x
    x = 39,395,819.24/7,039.51
  6. Step 6: Final answer
    x = 5,596.39

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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.