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Finding the Fourth Proportional to 7,585.16, 11,370 and 4,813.88

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Solution

The fourth proportional to 7,585.16, 11,370 and 4,813.88 is: 7,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.16 : 11,370 = 4,813.88 : x
  2. Step 2: Convert to fraction form
    7,585.16/11,370 = 4,813.88/x
  3. Step 3: Cross multiply
    7,585.16x = 11,370 × 4,813.88
  4. Step 4: Simplify right side
    7,585.16x = 54,733,815.60
  5. Step 5: Solve for x
    x = 54,733,815.60/7,585.16
  6. Step 6: Final answer
    x = 7,215.91

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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.