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Finding the Fourth Proportional to 10,371.34, 14,312.74 and 5,655.88

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Solution

The fourth proportional to 10,371.34, 14,312.74 and 5,655.88 is: 7,805.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,371.34 : 14,312.74 = 5,655.88 : x
  2. Step 2: Convert to fraction form
    10,371.34/14,312.74 = 5,655.88/x
  3. Step 3: Cross multiply
    10,371.34x = 14,312.74 × 5,655.88
  4. Step 4: Simplify right side
    10,371.34x = 80,951,068.35
  5. Step 5: Solve for x
    x = 80,951,068.35/10,371.34
  6. Step 6: Final answer
    x = 7,805.27

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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.