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Finding the Fourth Proportional to 11,312.63, 15,611.42 and 6,596.00

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Solution

The fourth proportional to 11,312.63, 15,611.42 and 6,596.00 is: 9,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.63 : 15,611.42 = 6,596.00 : x
  2. Step 2: Convert to fraction form
    11,312.63/15,611.42 = 6,596.00/x
  3. Step 3: Cross multiply
    11,312.63x = 15,611.42 × 6,596.00
  4. Step 4: Simplify right side
    11,312.63x = 102,972,864.75
  5. Step 5: Solve for x
    x = 102,972,864.75/11,312.63
  6. Step 6: Final answer
    x = 9,102.47

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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.