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Finding the Fourth Proportional to 10,564.66, 14,576.76 and 7,214.44

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Solution

The fourth proportional to 10,564.66, 14,576.76 and 7,214.44 is: 9,954.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.66 : 14,576.76 = 7,214.44 : x
  2. Step 2: Convert to fraction form
    10,564.66/14,576.76 = 7,214.44/x
  3. Step 3: Cross multiply
    10,564.66x = 14,576.76 × 7,214.44
  4. Step 4: Simplify right side
    10,564.66x = 105,163,160.41
  5. Step 5: Solve for x
    x = 105,163,160.41/10,564.66
  6. Step 6: Final answer
    x = 9,954.24

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Why These Related Problems?

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