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Finding the Fourth Proportional to 10,130.59, 15,201.23 and 7,188.05

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Solution

The fourth proportional to 10,130.59, 15,201.23 and 7,188.05 is: 10,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.59 : 15,201.23 = 7,188.05 : x
  2. Step 2: Convert to fraction form
    10,130.59/15,201.23 = 7,188.05/x
  3. Step 3: Cross multiply
    10,130.59x = 15,201.23 × 7,188.05
  4. Step 4: Simplify right side
    10,130.59x = 109,267,162.27
  5. Step 5: Solve for x
    x = 109,267,162.27/10,130.59
  6. Step 6: Final answer
    x = 10,785.87

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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.