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Finding the Fourth Proportional to 10,154.64, 14,011.74 and 5,677.62

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Solution

The fourth proportional to 10,154.64, 14,011.74 and 5,677.62 is: 7,834.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.64 : 14,011.74 = 5,677.62 : x
  2. Step 2: Convert to fraction form
    10,154.64/14,011.74 = 5,677.62/x
  3. Step 3: Cross multiply
    10,154.64x = 14,011.74 × 5,677.62
  4. Step 4: Simplify right side
    10,154.64x = 79,553,335.26
  5. Step 5: Solve for x
    x = 79,553,335.26/10,154.64
  6. Step 6: Final answer
    x = 7,834.19

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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.