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Finding the Fourth Proportional to 7,812.17, 10,780.81 and 4,275.61

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Solution

The fourth proportional to 7,812.17, 10,780.81 and 4,275.61 is: 5,900.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.17 : 10,780.81 = 4,275.61 : x
  2. Step 2: Convert to fraction form
    7,812.17/10,780.81 = 4,275.61/x
  3. Step 3: Cross multiply
    7,812.17x = 10,780.81 × 4,275.61
  4. Step 4: Simplify right side
    7,812.17x = 46,094,485.14
  5. Step 5: Solve for x
    x = 46,094,485.14/7,812.17
  6. Step 6: Final answer
    x = 5,900.34

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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.