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Finding the Fourth Proportional to 10,507.44, 14,486.16 and 9,008.88

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Solution

The fourth proportional to 10,507.44, 14,486.16 and 9,008.88 is: 12,420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.44 : 14,486.16 = 9,008.88 : x
  2. Step 2: Convert to fraction form
    10,507.44/14,486.16 = 9,008.88/x
  3. Step 3: Cross multiply
    10,507.44x = 14,486.16 × 9,008.88
  4. Step 4: Simplify right side
    10,507.44x = 130,504,077.10
  5. Step 5: Solve for x
    x = 130,504,077.10/10,507.44
  6. Step 6: Final answer
    x = 12,420.16

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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.