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Finding the Fourth Proportional to 7,926.50, 10,938.57 and 5,132

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Solution

The fourth proportional to 7,926.50, 10,938.57 and 5,132 is: 7,082.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,926.50 : 10,938.57 = 5,132 : x
  2. Step 2: Convert to fraction form
    7,926.50/10,938.57 = 5,132/x
  3. Step 3: Cross multiply
    7,926.50x = 10,938.57 × 5,132
  4. Step 4: Simplify right side
    7,926.50x = 56,136,741.24
  5. Step 5: Solve for x
    x = 56,136,741.24/7,926.50
  6. Step 6: Final answer
    x = 7,082.16

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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.