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Finding the Fourth Proportional to 8,835.84, 12,182.40 and 7,430.40

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Solution

The fourth proportional to 8,835.84, 12,182.40 and 7,430.40 is: 10,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,835.84 : 12,182.40 = 7,430.40 : x
  2. Step 2: Convert to fraction form
    8,835.84/12,182.40 = 7,430.40/x
  3. Step 3: Cross multiply
    8,835.84x = 12,182.40 × 7,430.40
  4. Step 4: Simplify right side
    8,835.84x = 90,520,104.96
  5. Step 5: Solve for x
    x = 90,520,104.96/8,835.84
  6. Step 6: Final answer
    x = 10,244.65

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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.