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Finding the Fourth Proportional to 7,813.72, 11,707.48 and 7,510.24

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Solution

The fourth proportional to 7,813.72, 11,707.48 and 7,510.24 is: 11,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.72 : 11,707.48 = 7,510.24 : x
  2. Step 2: Convert to fraction form
    7,813.72/11,707.48 = 7,510.24/x
  3. Step 3: Cross multiply
    7,813.72x = 11,707.48 × 7,510.24
  4. Step 4: Simplify right side
    7,813.72x = 87,925,984.60
  5. Step 5: Solve for x
    x = 87,925,984.60/7,813.72
  6. Step 6: Final answer
    x = 11,252.77

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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.