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Finding the Fourth Proportional to 11,459.72, 15,822 and 8,802.36

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Solution

The fourth proportional to 11,459.72, 15,822 and 8,802.36 is: 12,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.72 : 15,822 = 8,802.36 : x
  2. Step 2: Convert to fraction form
    11,459.72/15,822 = 8,802.36/x
  3. Step 3: Cross multiply
    11,459.72x = 15,822 × 8,802.36
  4. Step 4: Simplify right side
    11,459.72x = 139,270,939.92
  5. Step 5: Solve for x
    x = 139,270,939.92/11,459.72
  6. Step 6: Final answer
    x = 12,153.08

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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.