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Finding the Fourth Proportional to 7,730.76, 11,585.34 and 3,831.24

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Solution

The fourth proportional to 7,730.76, 11,585.34 and 3,831.24 is: 5,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.76 : 11,585.34 = 3,831.24 : x
  2. Step 2: Convert to fraction form
    7,730.76/11,585.34 = 3,831.24/x
  3. Step 3: Cross multiply
    7,730.76x = 11,585.34 × 3,831.24
  4. Step 4: Simplify right side
    7,730.76x = 44,386,218.02
  5. Step 5: Solve for x
    x = 44,386,218.02/7,730.76
  6. Step 6: Final answer
    x = 5,741.51

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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.