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Finding the Fourth Proportional to 11,545.88, 15,934.28 and 6,509.84

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Solution

The fourth proportional to 11,545.88, 15,934.28 and 6,509.84 is: 8,984.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545.88 : 15,934.28 = 6,509.84 : x
  2. Step 2: Convert to fraction form
    11,545.88/15,934.28 = 6,509.84/x
  3. Step 3: Cross multiply
    11,545.88x = 15,934.28 × 6,509.84
  4. Step 4: Simplify right side
    11,545.88x = 103,729,501.09
  5. Step 5: Solve for x
    x = 103,729,501.09/11,545.88
  6. Step 6: Final answer
    x = 8,984.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.