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Finding the Fourth Proportional to 7,675.84, 11,509.44 and 5,032

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Solution

The fourth proportional to 7,675.84, 11,509.44 and 5,032 is: 7,545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.84 : 11,509.44 = 5,032 : x
  2. Step 2: Convert to fraction form
    7,675.84/11,509.44 = 5,032/x
  3. Step 3: Cross multiply
    7,675.84x = 11,509.44 × 5,032
  4. Step 4: Simplify right side
    7,675.84x = 57,915,502.08
  5. Step 5: Solve for x
    x = 57,915,502.08/7,675.84
  6. Step 6: Final answer
    x = 7,545.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.