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Finding the Fourth Proportional to 10,967.16, 15,133.50 and 6,491.10

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Solution

The fourth proportional to 10,967.16, 15,133.50 and 6,491.10 is: 8,957.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.16 : 15,133.50 = 6,491.10 : x
  2. Step 2: Convert to fraction form
    10,967.16/15,133.50 = 6,491.10/x
  3. Step 3: Cross multiply
    10,967.16x = 15,133.50 × 6,491.10
  4. Step 4: Simplify right side
    10,967.16x = 98,233,061.85
  5. Step 5: Solve for x
    x = 98,233,061.85/10,967.16
  6. Step 6: Final answer
    x = 8,957.02

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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.