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Finding the Fourth Proportional to 10,507.61, 14,521.40 and 8,616.26

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Solution

The fourth proportional to 10,507.61, 14,521.40 and 8,616.26 is: 11,907.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.61 : 14,521.40 = 8,616.26 : x
  2. Step 2: Convert to fraction form
    10,507.61/14,521.40 = 8,616.26/x
  3. Step 3: Cross multiply
    10,507.61x = 14,521.40 × 8,616.26
  4. Step 4: Simplify right side
    10,507.61x = 125,120,157.96
  5. Step 5: Solve for x
    x = 125,120,157.96/10,507.61
  6. Step 6: Final answer
    x = 11,907.58

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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.