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Finding the Fourth Proportional to 10,342.86, 14,285.97 and 7,505.67

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Solution

The fourth proportional to 10,342.86, 14,285.97 and 7,505.67 is: 10,367.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.86 : 14,285.97 = 7,505.67 : x
  2. Step 2: Convert to fraction form
    10,342.86/14,285.97 = 7,505.67/x
  3. Step 3: Cross multiply
    10,342.86x = 14,285.97 × 7,505.67
  4. Step 4: Simplify right side
    10,342.86x = 107,225,776.45
  5. Step 5: Solve for x
    x = 107,225,776.45/10,342.86
  6. Step 6: Final answer
    x = 10,367.13

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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.