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Finding the Fourth Proportional to 11,870.76, 16,381.26 and 7,152.24

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Solution

The fourth proportional to 11,870.76, 16,381.26 and 7,152.24 is: 9,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.76 : 16,381.26 = 7,152.24 : x
  2. Step 2: Convert to fraction form
    11,870.76/16,381.26 = 7,152.24/x
  3. Step 3: Cross multiply
    11,870.76x = 16,381.26 × 7,152.24
  4. Step 4: Simplify right side
    11,870.76x = 117,162,703.02
  5. Step 5: Solve for x
    x = 117,162,703.02/11,870.76
  6. Step 6: Final answer
    x = 9,869.86

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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.