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Finding the Fourth Proportional to 7,082.04, 10,628.14 and 4,746.50

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Solution

The fourth proportional to 7,082.04, 10,628.14 and 4,746.50 is: 7,123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.04 : 10,628.14 = 4,746.50 : x
  2. Step 2: Convert to fraction form
    7,082.04/10,628.14 = 4,746.50/x
  3. Step 3: Cross multiply
    7,082.04x = 10,628.14 × 4,746.50
  4. Step 4: Simplify right side
    7,082.04x = 50,446,466.51
  5. Step 5: Solve for x
    x = 50,446,466.51/7,082.04
  6. Step 6: Final answer
    x = 7,123.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.