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Finding the Fourth Proportional to 10,877.32, 16,380.43 and 9,507.16

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Solution

The fourth proportional to 10,877.32, 16,380.43 and 9,507.16 is: 14,317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.32 : 16,380.43 = 9,507.16 : x
  2. Step 2: Convert to fraction form
    10,877.32/16,380.43 = 9,507.16/x
  3. Step 3: Cross multiply
    10,877.32x = 16,380.43 × 9,507.16
  4. Step 4: Simplify right side
    10,877.32x = 155,731,368.88
  5. Step 5: Solve for x
    x = 155,731,368.88/10,877.32
  6. Step 6: Final answer
    x = 14,317.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.