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Finding the Fourth Proportional to 10,510.72, 14,491.32 and 8,615.44

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Solution

The fourth proportional to 10,510.72, 14,491.32 and 8,615.44 is: 11,878.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.72 : 14,491.32 = 8,615.44 : x
  2. Step 2: Convert to fraction form
    10,510.72/14,491.32 = 8,615.44/x
  3. Step 3: Cross multiply
    10,510.72x = 14,491.32 × 8,615.44
  4. Step 4: Simplify right side
    10,510.72x = 124,849,097.98
  5. Step 5: Solve for x
    x = 124,849,097.98/10,510.72
  6. Step 6: Final answer
    x = 11,878.26

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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.