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Finding the Fourth Proportional to 7,820.59, 11,728.75 and 3,437.01

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Solution

The fourth proportional to 7,820.59, 11,728.75 and 3,437.01 is: 5,154.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.59 : 11,728.75 = 3,437.01 : x
  2. Step 2: Convert to fraction form
    7,820.59/11,728.75 = 3,437.01/x
  3. Step 3: Cross multiply
    7,820.59x = 11,728.75 × 3,437.01
  4. Step 4: Simplify right side
    7,820.59x = 40,311,831.04
  5. Step 5: Solve for x
    x = 40,311,831.04/7,820.59
  6. Step 6: Final answer
    x = 5,154.58

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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.