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Finding the Fourth Proportional to 10,062.10, 13,885.03 and 5,585.63

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Solution

The fourth proportional to 10,062.10, 13,885.03 and 5,585.63 is: 7,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.10 : 13,885.03 = 5,585.63 : x
  2. Step 2: Convert to fraction form
    10,062.10/13,885.03 = 5,585.63/x
  3. Step 3: Cross multiply
    10,062.10x = 13,885.03 × 5,585.63
  4. Step 4: Simplify right side
    10,062.10x = 77,556,640.12
  5. Step 5: Solve for x
    x = 77,556,640.12/10,062.10
  6. Step 6: Final answer
    x = 7,707.80

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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.