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Finding the Fourth Proportional to 10,357.19, 15,534.16 and 3,431.69

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Solution

The fourth proportional to 10,357.19, 15,534.16 and 3,431.69 is: 5,147.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.19 : 15,534.16 = 3,431.69 : x
  2. Step 2: Convert to fraction form
    10,357.19/15,534.16 = 3,431.69/x
  3. Step 3: Cross multiply
    10,357.19x = 15,534.16 × 3,431.69
  4. Step 4: Simplify right side
    10,357.19x = 53,308,421.53
  5. Step 5: Solve for x
    x = 53,308,421.53/10,357.19
  6. Step 6: Final answer
    x = 5,147.00

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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.