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Finding the Fourth Proportional to 7,497.99, 10,347.21 and 4,140.63

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Solution

The fourth proportional to 7,497.99, 10,347.21 and 4,140.63 is: 5,714.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.99 : 10,347.21 = 4,140.63 : x
  2. Step 2: Convert to fraction form
    7,497.99/10,347.21 = 4,140.63/x
  3. Step 3: Cross multiply
    7,497.99x = 10,347.21 × 4,140.63
  4. Step 4: Simplify right side
    7,497.99x = 42,843,968.14
  5. Step 5: Solve for x
    x = 42,843,968.14/7,497.99
  6. Step 6: Final answer
    x = 5,714.06

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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.