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Finding the Fourth Proportional to 8,263.95, 12,374.73 and 4,562.07

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Solution

The fourth proportional to 8,263.95, 12,374.73 and 4,562.07 is: 6,831.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.95 : 12,374.73 = 4,562.07 : x
  2. Step 2: Convert to fraction form
    8,263.95/12,374.73 = 4,562.07/x
  3. Step 3: Cross multiply
    8,263.95x = 12,374.73 × 4,562.07
  4. Step 4: Simplify right side
    8,263.95x = 56,454,384.49
  5. Step 5: Solve for x
    x = 56,454,384.49/8,263.95
  6. Step 6: Final answer
    x = 6,831.40

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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.