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Finding the Fourth Proportional to 10,435.35, 14,419.87 and 7,597.79

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Solution

The fourth proportional to 10,435.35, 14,419.87 and 7,597.79 is: 10,498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.35 : 14,419.87 = 7,597.79 : x
  2. Step 2: Convert to fraction form
    10,435.35/14,419.87 = 7,597.79/x
  3. Step 3: Cross multiply
    10,435.35x = 14,419.87 × 7,597.79
  4. Step 4: Simplify right side
    10,435.35x = 109,559,180.14
  5. Step 5: Solve for x
    x = 109,559,180.14/10,435.35
  6. Step 6: Final answer
    x = 10,498.86

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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.