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Finding the Fourth Proportional to 10,611.77, 15,924.57 and 4,038.01

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Solution

The fourth proportional to 10,611.77, 15,924.57 and 4,038.01 is: 6,059.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.77 : 15,924.57 = 4,038.01 : x
  2. Step 2: Convert to fraction form
    10,611.77/15,924.57 = 4,038.01/x
  3. Step 3: Cross multiply
    10,611.77x = 15,924.57 × 4,038.01
  4. Step 4: Simplify right side
    10,611.77x = 64,303,572.91
  5. Step 5: Solve for x
    x = 64,303,572.91/10,611.77
  6. Step 6: Final answer
    x = 6,059.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.