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Finding the Fourth Proportional to 10,357.34, 14,293.74 and 7,800.59

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Solution

The fourth proportional to 10,357.34, 14,293.74 and 7,800.59 is: 10,765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.34 : 14,293.74 = 7,800.59 : x
  2. Step 2: Convert to fraction form
    10,357.34/14,293.74 = 7,800.59/x
  3. Step 3: Cross multiply
    10,357.34x = 14,293.74 × 7,800.59
  4. Step 4: Simplify right side
    10,357.34x = 111,499,494.83
  5. Step 5: Solve for x
    x = 111,499,494.83/10,357.34
  6. Step 6: Final answer
    x = 10,765.27

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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.