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Finding the Fourth Proportional to 7,307.87, 10,082.44 and 4,120.77

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Solution

The fourth proportional to 7,307.87, 10,082.44 and 4,120.77 is: 5,685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.87 : 10,082.44 = 4,120.77 : x
  2. Step 2: Convert to fraction form
    7,307.87/10,082.44 = 4,120.77/x
  3. Step 3: Cross multiply
    7,307.87x = 10,082.44 × 4,120.77
  4. Step 4: Simplify right side
    7,307.87x = 41,547,416.28
  5. Step 5: Solve for x
    x = 41,547,416.28/7,307.87
  6. Step 6: Final answer
    x = 5,685.30

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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.