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Finding the Fourth Proportional to 11,532.60, 15,904.36 and 7,697.46

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Solution

The fourth proportional to 11,532.60, 15,904.36 and 7,697.46 is: 10,615.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.60 : 15,904.36 = 7,697.46 : x
  2. Step 2: Convert to fraction form
    11,532.60/15,904.36 = 7,697.46/x
  3. Step 3: Cross multiply
    11,532.60x = 15,904.36 × 7,697.46
  4. Step 4: Simplify right side
    11,532.60x = 122,423,174.93
  5. Step 5: Solve for x
    x = 122,423,174.93/11,532.60
  6. Step 6: Final answer
    x = 10,615.40

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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.