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Finding the Fourth Proportional to 10,447.62, 14,417.62 and 5,667.55

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Solution

The fourth proportional to 10,447.62, 14,417.62 and 5,667.55 is: 7,821.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.62 : 14,417.62 = 5,667.55 : x
  2. Step 2: Convert to fraction form
    10,447.62/14,417.62 = 5,667.55/x
  3. Step 3: Cross multiply
    10,447.62x = 14,417.62 × 5,667.55
  4. Step 4: Simplify right side
    10,447.62x = 81,712,532.02
  5. Step 5: Solve for x
    x = 81,712,532.02/10,447.62
  6. Step 6: Final answer
    x = 7,821.17

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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.