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Finding the Fourth Proportional to 10,370.82, 14,312.93 and 5,772.06

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Solution

The fourth proportional to 10,370.82, 14,312.93 and 5,772.06 is: 7,966.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370.82 : 14,312.93 = 5,772.06 : x
  2. Step 2: Convert to fraction form
    10,370.82/14,312.93 = 5,772.06/x
  3. Step 3: Cross multiply
    10,370.82x = 14,312.93 × 5,772.06
  4. Step 4: Simplify right side
    10,370.82x = 82,615,090.74
  5. Step 5: Solve for x
    x = 82,615,090.74/10,370.82
  6. Step 6: Final answer
    x = 7,966.11

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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.