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Finding the Fourth Proportional to 7,889.47, 11,816.82 and 6,521.53

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Solution

The fourth proportional to 7,889.47, 11,816.82 and 6,521.53 is: 9,767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.47 : 11,816.82 = 6,521.53 : x
  2. Step 2: Convert to fraction form
    7,889.47/11,816.82 = 6,521.53/x
  3. Step 3: Cross multiply
    7,889.47x = 11,816.82 × 6,521.53
  4. Step 4: Simplify right side
    7,889.47x = 77,063,746.13
  5. Step 5: Solve for x
    x = 77,063,746.13/7,889.47
  6. Step 6: Final answer
    x = 9,767.92

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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.