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Finding the Fourth Proportional to 10,211.72, 14,094.14 and 8,530.16

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Solution

The fourth proportional to 10,211.72, 14,094.14 and 8,530.16 is: 11,773.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,211.72 : 14,094.14 = 8,530.16 : x
  2. Step 2: Convert to fraction form
    10,211.72/14,094.14 = 8,530.16/x
  3. Step 3: Cross multiply
    10,211.72x = 14,094.14 × 8,530.16
  4. Step 4: Simplify right side
    10,211.72x = 120,225,156.14
  5. Step 5: Solve for x
    x = 120,225,156.14/10,211.72
  6. Step 6: Final answer
    x = 11,773.26

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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.