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Finding the Fourth Proportional to 10,451.36, 15,667.04 and 3,875.76

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Solution

The fourth proportional to 10,451.36, 15,667.04 and 3,875.76 is: 5,809.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.36 : 15,667.04 = 3,875.76 : x
  2. Step 2: Convert to fraction form
    10,451.36/15,667.04 = 3,875.76/x
  3. Step 3: Cross multiply
    10,451.36x = 15,667.04 × 3,875.76
  4. Step 4: Simplify right side
    10,451.36x = 60,721,686.95
  5. Step 5: Solve for x
    x = 60,721,686.95/10,451.36
  6. Step 6: Final answer
    x = 5,809.93

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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.