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Finding the Fourth Proportional to 10,062.63, 13,885.23 and 5,585.31

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Solution

The fourth proportional to 10,062.63, 13,885.23 and 5,585.31 is: 7,707.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.63 : 13,885.23 = 5,585.31 : x
  2. Step 2: Convert to fraction form
    10,062.63/13,885.23 = 5,585.31/x
  3. Step 3: Cross multiply
    10,062.63x = 13,885.23 × 5,585.31
  4. Step 4: Simplify right side
    10,062.63x = 77,553,313.97
  5. Step 5: Solve for x
    x = 77,553,313.97/10,062.63
  6. Step 6: Final answer
    x = 7,707.06

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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.