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Finding the Fourth Proportional to 7,812.52, 11,718.78 and 3,430.01

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Solution

The fourth proportional to 7,812.52, 11,718.78 and 3,430.01 is: 5,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.52 : 11,718.78 = 3,430.01 : x
  2. Step 2: Convert to fraction form
    7,812.52/11,718.78 = 3,430.01/x
  3. Step 3: Cross multiply
    7,812.52x = 11,718.78 × 3,430.01
  4. Step 4: Simplify right side
    7,812.52x = 40,195,549.02
  5. Step 5: Solve for x
    x = 40,195,549.02/7,812.52
  6. Step 6: Final answer
    x = 5,145.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.