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Finding the Fourth Proportional to 11,510.60, 17,181.87 and 9,877.64

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Solution

The fourth proportional to 11,510.60, 17,181.87 and 9,877.64 is: 14,744.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.60 : 17,181.87 = 9,877.64 : x
  2. Step 2: Convert to fraction form
    11,510.60/17,181.87 = 9,877.64/x
  3. Step 3: Cross multiply
    11,510.60x = 17,181.87 × 9,877.64
  4. Step 4: Simplify right side
    11,510.60x = 169,716,369.34
  5. Step 5: Solve for x
    x = 169,716,369.34/11,510.60
  6. Step 6: Final answer
    x = 14,744.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.