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Finding the Fourth Proportional to 10,056.66, 15,049.32 and 7,417.92

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Solution

The fourth proportional to 10,056.66, 15,049.32 and 7,417.92 is: 11,100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.66 : 15,049.32 = 7,417.92 : x
  2. Step 2: Convert to fraction form
    10,056.66/15,049.32 = 7,417.92/x
  3. Step 3: Cross multiply
    10,056.66x = 15,049.32 × 7,417.92
  4. Step 4: Simplify right side
    10,056.66x = 111,634,651.81
  5. Step 5: Solve for x
    x = 111,634,651.81/10,056.66
  6. Step 6: Final answer
    x = 11,100.57

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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.