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Finding the Fourth Proportional to 10,497.69, 15,746.08 and 3,923.93

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Solution

The fourth proportional to 10,497.69, 15,746.08 and 3,923.93 is: 5,885.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.69 : 15,746.08 = 3,923.93 : x
  2. Step 2: Convert to fraction form
    10,497.69/15,746.08 = 3,923.93/x
  3. Step 3: Cross multiply
    10,497.69x = 15,746.08 × 3,923.93
  4. Step 4: Simplify right side
    10,497.69x = 61,786,515.69
  5. Step 5: Solve for x
    x = 61,786,515.69/10,497.69
  6. Step 6: Final answer
    x = 5,885.72

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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.