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Finding the Fourth Proportional to 11,527.98, 15,905.40 and 6,491.90

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Solution

The fourth proportional to 11,527.98, 15,905.40 and 6,491.90 is: 8,957.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.98 : 15,905.40 = 6,491.90 : x
  2. Step 2: Convert to fraction form
    11,527.98/15,905.40 = 6,491.90/x
  3. Step 3: Cross multiply
    11,527.98x = 15,905.40 × 6,491.90
  4. Step 4: Simplify right side
    11,527.98x = 103,256,266.26
  5. Step 5: Solve for x
    x = 103,256,266.26/11,527.98
  6. Step 6: Final answer
    x = 8,957.01

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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.