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Finding the Fourth Proportional to 10,611.66, 15,884.64 and 9,037.02

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Solution

The fourth proportional to 10,611.66, 15,884.64 and 9,037.02 is: 13,527.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.66 : 15,884.64 = 9,037.02 : x
  2. Step 2: Convert to fraction form
    10,611.66/15,884.64 = 9,037.02/x
  3. Step 3: Cross multiply
    10,611.66x = 15,884.64 × 9,037.02
  4. Step 4: Simplify right side
    10,611.66x = 143,549,809.37
  5. Step 5: Solve for x
    x = 143,549,809.37/10,611.66
  6. Step 6: Final answer
    x = 13,527.55

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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.