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Finding the Fourth Proportional to 10,375.10, 15,538.35 and 7,070.30

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Solution

The fourth proportional to 10,375.10, 15,538.35 and 7,070.30 is: 10,588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.10 : 15,538.35 = 7,070.30 : x
  2. Step 2: Convert to fraction form
    10,375.10/15,538.35 = 7,070.30/x
  3. Step 3: Cross multiply
    10,375.10x = 15,538.35 × 7,070.30
  4. Step 4: Simplify right side
    10,375.10x = 109,860,796.01
  5. Step 5: Solve for x
    x = 109,860,796.01/10,375.10
  6. Step 6: Final answer
    x = 10,588.89

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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.