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Finding the Fourth Proportional to 11,537.10, 15,919.41 and 6,501

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Solution

The fourth proportional to 11,537.10, 15,919.41 and 6,501 is: 8,970.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.10 : 15,919.41 = 6,501 : x
  2. Step 2: Convert to fraction form
    11,537.10/15,919.41 = 6,501/x
  3. Step 3: Cross multiply
    11,537.10x = 15,919.41 × 6,501
  4. Step 4: Simplify right side
    11,537.10x = 103,492,084.41
  5. Step 5: Solve for x
    x = 103,492,084.41/11,537.10
  6. Step 6: Final answer
    x = 8,970.37

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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.