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Finding the Fourth Proportional to 7,337.84, 11,007.68 and 2,408.00

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Solution

The fourth proportional to 7,337.84, 11,007.68 and 2,408.00 is: 3,612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,337.84 : 11,007.68 = 2,408.00 : x
  2. Step 2: Convert to fraction form
    7,337.84/11,007.68 = 2,408.00/x
  3. Step 3: Cross multiply
    7,337.84x = 11,007.68 × 2,408.00
  4. Step 4: Simplify right side
    7,337.84x = 26,506,426.36
  5. Step 5: Solve for x
    x = 26,506,426.36/7,337.84
  6. Step 6: Final answer
    x = 3,612.30

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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.