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Finding the Fourth Proportional to 11,572.88, 15,970.72 and 6,856.26

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Solution

The fourth proportional to 11,572.88, 15,970.72 and 6,856.26 is: 9,461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.88 : 15,970.72 = 6,856.26 : x
  2. Step 2: Convert to fraction form
    11,572.88/15,970.72 = 6,856.26/x
  3. Step 3: Cross multiply
    11,572.88x = 15,970.72 × 6,856.26
  4. Step 4: Simplify right side
    11,572.88x = 109,499,408.71
  5. Step 5: Solve for x
    x = 109,499,408.71/11,572.88
  6. Step 6: Final answer
    x = 9,461.73

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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.