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Finding the Fourth Proportional to 7,477.02, 11,211.84 and 4,358.16

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Solution

The fourth proportional to 7,477.02, 11,211.84 and 4,358.16 is: 6,535.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.02 : 11,211.84 = 4,358.16 : x
  2. Step 2: Convert to fraction form
    7,477.02/11,211.84 = 4,358.16/x
  3. Step 3: Cross multiply
    7,477.02x = 11,211.84 × 4,358.16
  4. Step 4: Simplify right side
    7,477.02x = 48,862,992.61
  5. Step 5: Solve for x
    x = 48,862,992.61/7,477.02
  6. Step 6: Final answer
    x = 6,535.09

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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.