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Finding the Fourth Proportional to 10,045, 15,065.88 and 7,114.42

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Solution

The fourth proportional to 10,045, 15,065.88 and 7,114.42 is: 10,670.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045 : 15,065.88 = 7,114.42 : x
  2. Step 2: Convert to fraction form
    10,045/15,065.88 = 7,114.42/x
  3. Step 3: Cross multiply
    10,045x = 15,065.88 × 7,114.42
  4. Step 4: Simplify right side
    10,045x = 107,184,997.99
  5. Step 5: Solve for x
    x = 107,184,997.99/10,045
  6. Step 6: Final answer
    x = 10,670.48

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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.