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Finding the Fourth Proportional to 7,848.50, 10,831.90 and 4,536.50

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Solution

The fourth proportional to 7,848.50, 10,831.90 and 4,536.50 is: 6,260.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.50 : 10,831.90 = 4,536.50 : x
  2. Step 2: Convert to fraction form
    7,848.50/10,831.90 = 4,536.50/x
  3. Step 3: Cross multiply
    7,848.50x = 10,831.90 × 4,536.50
  4. Step 4: Simplify right side
    7,848.50x = 49,138,914.35
  5. Step 5: Solve for x
    x = 49,138,914.35/7,848.50
  6. Step 6: Final answer
    x = 6,260.93

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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.