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Finding the Fourth Proportional to 7,812.40, 10,781.18 and 4,275.64

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Solution

The fourth proportional to 7,812.40, 10,781.18 and 4,275.64 is: 5,900.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.40 : 10,781.18 = 4,275.64 : x
  2. Step 2: Convert to fraction form
    7,812.40/10,781.18 = 4,275.64/x
  3. Step 3: Cross multiply
    7,812.40x = 10,781.18 × 4,275.64
  4. Step 4: Simplify right side
    7,812.40x = 46,096,423.08
  5. Step 5: Solve for x
    x = 46,096,423.08/7,812.40
  6. Step 6: Final answer
    x = 5,900.42

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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.