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Finding the Fourth Proportional to 11,420.16, 15,760.19 and 6,315.75

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Solution

The fourth proportional to 11,420.16, 15,760.19 and 6,315.75 is: 8,715.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.16 : 15,760.19 = 6,315.75 : x
  2. Step 2: Convert to fraction form
    11,420.16/15,760.19 = 6,315.75/x
  3. Step 3: Cross multiply
    11,420.16x = 15,760.19 × 6,315.75
  4. Step 4: Simplify right side
    11,420.16x = 99,537,419.99
  5. Step 5: Solve for x
    x = 99,537,419.99/11,420.16
  6. Step 6: Final answer
    x = 8,715.94

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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.