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Finding the Fourth Proportional to 10,564.84, 14,581.64 and 7,216.91

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Solution

The fourth proportional to 10,564.84, 14,581.64 and 7,216.91 is: 9,960.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.84 : 14,581.64 = 7,216.91 : x
  2. Step 2: Convert to fraction form
    10,564.84/14,581.64 = 7,216.91/x
  3. Step 3: Cross multiply
    10,564.84x = 14,581.64 × 7,216.91
  4. Step 4: Simplify right side
    10,564.84x = 105,234,274.54
  5. Step 5: Solve for x
    x = 105,234,274.54/10,564.84
  6. Step 6: Final answer
    x = 9,960.81

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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.