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Finding the Fourth Proportional to 7,565.36, 11,347.52 and 4,644.08

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Solution

The fourth proportional to 7,565.36, 11,347.52 and 4,644.08 is: 6,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.36 : 11,347.52 = 4,644.08 : x
  2. Step 2: Convert to fraction form
    7,565.36/11,347.52 = 4,644.08/x
  3. Step 3: Cross multiply
    7,565.36x = 11,347.52 × 4,644.08
  4. Step 4: Simplify right side
    7,565.36x = 52,698,790.68
  5. Step 5: Solve for x
    x = 52,698,790.68/7,565.36
  6. Step 6: Final answer
    x = 6,965.80

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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.