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Finding the Fourth Proportional to 10,611.41, 14,647.10 and 7,252.98

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Solution

The fourth proportional to 10,611.41, 14,647.10 and 7,252.98 is: 10,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.41 : 14,647.10 = 7,252.98 : x
  2. Step 2: Convert to fraction form
    10,611.41/14,647.10 = 7,252.98/x
  3. Step 3: Cross multiply
    10,611.41x = 14,647.10 × 7,252.98
  4. Step 4: Simplify right side
    10,611.41x = 106,235,032.17
  5. Step 5: Solve for x
    x = 106,235,032.17/10,611.41
  6. Step 6: Final answer
    x = 10,011.40

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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.