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Finding the Fourth Proportional to 8,432.95, 12,648.23 and 5,303.41

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Solution

The fourth proportional to 8,432.95, 12,648.23 and 5,303.41 is: 7,954.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.95 : 12,648.23 = 5,303.41 : x
  2. Step 2: Convert to fraction form
    8,432.95/12,648.23 = 5,303.41/x
  3. Step 3: Cross multiply
    8,432.95x = 12,648.23 × 5,303.41
  4. Step 4: Simplify right side
    8,432.95x = 67,078,749.46
  5. Step 5: Solve for x
    x = 67,078,749.46/8,432.95
  6. Step 6: Final answer
    x = 7,954.36

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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.