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Finding the Fourth Proportional to 7,498.96, 10,347.68 and 4,141.58

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Solution

The fourth proportional to 7,498.96, 10,347.68 and 4,141.58 is: 5,714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.96 : 10,347.68 = 4,141.58 : x
  2. Step 2: Convert to fraction form
    7,498.96/10,347.68 = 4,141.58/x
  3. Step 3: Cross multiply
    7,498.96x = 10,347.68 × 4,141.58
  4. Step 4: Simplify right side
    7,498.96x = 42,855,719.34
  5. Step 5: Solve for x
    x = 42,855,719.34/7,498.96
  6. Step 6: Final answer
    x = 5,714.89

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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.