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Finding the Fourth Proportional to 10,364.76, 15,548.15 and 3,792.83

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Solution

The fourth proportional to 10,364.76, 15,548.15 and 3,792.83 is: 5,689.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.76 : 15,548.15 = 3,792.83 : x
  2. Step 2: Convert to fraction form
    10,364.76/15,548.15 = 3,792.83/x
  3. Step 3: Cross multiply
    10,364.76x = 15,548.15 × 3,792.83
  4. Step 4: Simplify right side
    10,364.76x = 58,971,421.51
  5. Step 5: Solve for x
    x = 58,971,421.51/10,364.76
  6. Step 6: Final answer
    x = 5,689.61

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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.