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Finding the Fourth Proportional to 11,497.47, 15,864.57 and 6,782.67

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Solution

The fourth proportional to 11,497.47, 15,864.57 and 6,782.67 is: 9,358.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.47 : 15,864.57 = 6,782.67 : x
  2. Step 2: Convert to fraction form
    11,497.47/15,864.57 = 6,782.67/x
  3. Step 3: Cross multiply
    11,497.47x = 15,864.57 × 6,782.67
  4. Step 4: Simplify right side
    11,497.47x = 107,604,143.00
  5. Step 5: Solve for x
    x = 107,604,143.00/11,497.47
  6. Step 6: Final answer
    x = 9,358.94

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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.