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Finding the Fourth Proportional to 7,260.68, 10,019.73 and 4,116.86

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Solution

The fourth proportional to 7,260.68, 10,019.73 and 4,116.86 is: 5,681.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,260.68 : 10,019.73 = 4,116.86 : x
  2. Step 2: Convert to fraction form
    7,260.68/10,019.73 = 4,116.86/x
  3. Step 3: Cross multiply
    7,260.68x = 10,019.73 × 4,116.86
  4. Step 4: Simplify right side
    7,260.68x = 41,249,775.55
  5. Step 5: Solve for x
    x = 41,249,775.55/7,260.68
  6. Step 6: Final answer
    x = 5,681.26

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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.