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Finding the Fourth Proportional to 10,062.06, 13,885.68 and 5,586

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Solution

The fourth proportional to 10,062.06, 13,885.68 and 5,586 is: 7,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.06 : 13,885.68 = 5,586 : x
  2. Step 2: Convert to fraction form
    10,062.06/13,885.68 = 5,586/x
  3. Step 3: Cross multiply
    10,062.06x = 13,885.68 × 5,586
  4. Step 4: Simplify right side
    10,062.06x = 77,565,408.48
  5. Step 5: Solve for x
    x = 77,565,408.48/10,062.06
  6. Step 6: Final answer
    x = 7,708.70

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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.