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Finding the Fourth Proportional to 10,591.16, 14,615.16 and 5,875.16

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Solution

The fourth proportional to 10,591.16, 14,615.16 and 5,875.16 is: 8,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.16 : 14,615.16 = 5,875.16 : x
  2. Step 2: Convert to fraction form
    10,591.16/14,615.16 = 5,875.16/x
  3. Step 3: Cross multiply
    10,591.16x = 14,615.16 × 5,875.16
  4. Step 4: Simplify right side
    10,591.16x = 85,866,403.43
  5. Step 5: Solve for x
    x = 85,866,403.43/10,591.16
  6. Step 6: Final answer
    x = 8,107.37

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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.