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Finding the Fourth Proportional to 7,800.21, 10,746.05 and 5,438.13

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Solution

The fourth proportional to 7,800.21, 10,746.05 and 5,438.13 is: 7,491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.21 : 10,746.05 = 5,438.13 : x
  2. Step 2: Convert to fraction form
    7,800.21/10,746.05 = 5,438.13/x
  3. Step 3: Cross multiply
    7,800.21x = 10,746.05 × 5,438.13
  4. Step 4: Simplify right side
    7,800.21x = 58,438,389.70
  5. Step 5: Solve for x
    x = 58,438,389.70/7,800.21
  6. Step 6: Final answer
    x = 7,491.90

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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.