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Finding the Fourth Proportional to 7,544.70, 10,421.84 and 5,798.14

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Solution

The fourth proportional to 7,544.70, 10,421.84 and 5,798.14 is: 8,009.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.70 : 10,421.84 = 5,798.14 : x
  2. Step 2: Convert to fraction form
    7,544.70/10,421.84 = 5,798.14/x
  3. Step 3: Cross multiply
    7,544.70x = 10,421.84 × 5,798.14
  4. Step 4: Simplify right side
    7,544.70x = 60,427,275.82
  5. Step 5: Solve for x
    x = 60,427,275.82/7,544.70
  6. Step 6: Final answer
    x = 8,009.24

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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.