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Finding the Fourth Proportional to 7,358.70, 11,038.05 and 6,552.30

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Solution

The fourth proportional to 7,358.70, 11,038.05 and 6,552.30 is: 9,828.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,358.70 : 11,038.05 = 6,552.30 : x
  2. Step 2: Convert to fraction form
    7,358.70/11,038.05 = 6,552.30/x
  3. Step 3: Cross multiply
    7,358.70x = 11,038.05 × 6,552.30
  4. Step 4: Simplify right side
    7,358.70x = 72,324,615.02
  5. Step 5: Solve for x
    x = 72,324,615.02/7,358.70
  6. Step 6: Final answer
    x = 9,828.45

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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.