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Finding the Fourth Proportional to 7,498.29, 10,347.37 and 4,140.93

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Solution

The fourth proportional to 7,498.29, 10,347.37 and 4,140.93 is: 5,714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.29 : 10,347.37 = 4,140.93 : x
  2. Step 2: Convert to fraction form
    7,498.29/10,347.37 = 4,140.93/x
  3. Step 3: Cross multiply
    7,498.29x = 10,347.37 × 4,140.93
  4. Step 4: Simplify right side
    7,498.29x = 42,847,734.85
  5. Step 5: Solve for x
    x = 42,847,734.85/7,498.29
  6. Step 6: Final answer
    x = 5,714.33

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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.