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Finding the Fourth Proportional to 7,710.30, 11,557.35 and 4,416.30

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Solution

The fourth proportional to 7,710.30, 11,557.35 and 4,416.30 is: 6,619.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.30 : 11,557.35 = 4,416.30 : x
  2. Step 2: Convert to fraction form
    7,710.30/11,557.35 = 4,416.30/x
  3. Step 3: Cross multiply
    7,710.30x = 11,557.35 × 4,416.30
  4. Step 4: Simplify right side
    7,710.30x = 51,040,724.81
  5. Step 5: Solve for x
    x = 51,040,724.81/7,710.30
  6. Step 6: Final answer
    x = 6,619.81

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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.