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Finding the Fourth Proportional to 10,062.90, 13,886.16 and 5,586.66

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Solution

The fourth proportional to 10,062.90, 13,886.16 and 5,586.66 is: 7,709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.90 : 13,886.16 = 5,586.66 : x
  2. Step 2: Convert to fraction form
    10,062.90/13,886.16 = 5,586.66/x
  3. Step 3: Cross multiply
    10,062.90x = 13,886.16 × 5,586.66
  4. Step 4: Simplify right side
    10,062.90x = 77,577,254.63
  5. Step 5: Solve for x
    x = 77,577,254.63/10,062.90
  6. Step 6: Final answer
    x = 7,709.23

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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.