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Finding the Fourth Proportional to 7,707.65, 11,569.44 and 4,748.23

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Solution

The fourth proportional to 7,707.65, 11,569.44 and 4,748.23 is: 7,127.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.65 : 11,569.44 = 4,748.23 : x
  2. Step 2: Convert to fraction form
    7,707.65/11,569.44 = 4,748.23/x
  3. Step 3: Cross multiply
    7,707.65x = 11,569.44 × 4,748.23
  4. Step 4: Simplify right side
    7,707.65x = 54,934,362.09
  5. Step 5: Solve for x
    x = 54,934,362.09/7,707.65
  6. Step 6: Final answer
    x = 7,127.25

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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.