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Finding the Fourth Proportional to 10,402.56, 15,603.84 and 4,250.88

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Solution

The fourth proportional to 10,402.56, 15,603.84 and 4,250.88 is: 6,376.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.56 : 15,603.84 = 4,250.88 : x
  2. Step 2: Convert to fraction form
    10,402.56/15,603.84 = 4,250.88/x
  3. Step 3: Cross multiply
    10,402.56x = 15,603.84 × 4,250.88
  4. Step 4: Simplify right side
    10,402.56x = 66,330,051.38
  5. Step 5: Solve for x
    x = 66,330,051.38/10,402.56
  6. Step 6: Final answer
    x = 6,376.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.