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Finding the Fourth Proportional to 10,497.57, 15,697.72 and 8,130.75

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Solution

The fourth proportional to 10,497.57, 15,697.72 and 8,130.75 is: 12,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.57 : 15,697.72 = 8,130.75 : x
  2. Step 2: Convert to fraction form
    10,497.57/15,697.72 = 8,130.75/x
  3. Step 3: Cross multiply
    10,497.57x = 15,697.72 × 8,130.75
  4. Step 4: Simplify right side
    10,497.57x = 127,634,236.89
  5. Step 5: Solve for x
    x = 127,634,236.89/10,497.57
  6. Step 6: Final answer
    x = 12,158.46

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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.