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Finding the Fourth Proportional to 10,447.21, 14,417.07 and 5,667.17

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Solution

The fourth proportional to 10,447.21, 14,417.07 and 5,667.17 is: 7,820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.21 : 14,417.07 = 5,667.17 : x
  2. Step 2: Convert to fraction form
    10,447.21/14,417.07 = 5,667.17/x
  3. Step 3: Cross multiply
    10,447.21x = 14,417.07 × 5,667.17
  4. Step 4: Simplify right side
    10,447.21x = 81,703,925.13
  5. Step 5: Solve for x
    x = 81,703,925.13/10,447.21
  6. Step 6: Final answer
    x = 7,820.64

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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.