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Finding the Fourth Proportional to 7,349.76, 11,024.64 and 3,656.61

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Solution

The fourth proportional to 7,349.76, 11,024.64 and 3,656.61 is: 5,484.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.76 : 11,024.64 = 3,656.61 : x
  2. Step 2: Convert to fraction form
    7,349.76/11,024.64 = 3,656.61/x
  3. Step 3: Cross multiply
    7,349.76x = 11,024.64 × 3,656.61
  4. Step 4: Simplify right side
    7,349.76x = 40,312,808.87
  5. Step 5: Solve for x
    x = 40,312,808.87/7,349.76
  6. Step 6: Final answer
    x = 5,484.92

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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.