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Finding the Fourth Proportional to 10,592.74, 14,611.90 and 6,606.93

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Solution

The fourth proportional to 10,592.74, 14,611.90 and 6,606.93 is: 9,113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.74 : 14,611.90 = 6,606.93 : x
  2. Step 2: Convert to fraction form
    10,592.74/14,611.90 = 6,606.93/x
  3. Step 3: Cross multiply
    10,592.74x = 14,611.90 × 6,606.93
  4. Step 4: Simplify right side
    10,592.74x = 96,539,800.47
  5. Step 5: Solve for x
    x = 96,539,800.47/10,592.74
  6. Step 6: Final answer
    x = 9,113.77

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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.