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Finding the Fourth Proportional to 10,371.65, 14,312.93 and 5,655.96

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Solution

The fourth proportional to 10,371.65, 14,312.93 and 5,655.96 is: 7,805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,371.65 : 14,312.93 = 5,655.96 : x
  2. Step 2: Convert to fraction form
    10,371.65/14,312.93 = 5,655.96/x
  3. Step 3: Cross multiply
    10,371.65x = 14,312.93 × 5,655.96
  4. Step 4: Simplify right side
    10,371.65x = 80,953,331.28
  5. Step 5: Solve for x
    x = 80,953,331.28/10,371.65
  6. Step 6: Final answer
    x = 7,805.25

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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.