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Finding the Fourth Proportional to 10,019.71, 13,818.81 and 7,507.72

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Solution

The fourth proportional to 10,019.71, 13,818.81 and 7,507.72 is: 10,354.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.71 : 13,818.81 = 7,507.72 : x
  2. Step 2: Convert to fraction form
    10,019.71/13,818.81 = 7,507.72/x
  3. Step 3: Cross multiply
    10,019.71x = 13,818.81 × 7,507.72
  4. Step 4: Simplify right side
    10,019.71x = 103,747,756.21
  5. Step 5: Solve for x
    x = 103,747,756.21/10,019.71
  6. Step 6: Final answer
    x = 10,354.37

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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.