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Finding the Fourth Proportional to 11,509.59, 15,884.46 and 7,035.96

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Solution

The fourth proportional to 11,509.59, 15,884.46 and 7,035.96 is: 9,710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.59 : 15,884.46 = 7,035.96 : x
  2. Step 2: Convert to fraction form
    11,509.59/15,884.46 = 7,035.96/x
  3. Step 3: Cross multiply
    11,509.59x = 15,884.46 × 7,035.96
  4. Step 4: Simplify right side
    11,509.59x = 111,762,425.18
  5. Step 5: Solve for x
    x = 111,762,425.18/11,509.59
  6. Step 6: Final answer
    x = 9,710.37

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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.