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Finding the Fourth Proportional to 7,505.40, 11,258.10 and 5,537.10

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Solution

The fourth proportional to 7,505.40, 11,258.10 and 5,537.10 is: 8,305.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505.40 : 11,258.10 = 5,537.10 : x
  2. Step 2: Convert to fraction form
    7,505.40/11,258.10 = 5,537.10/x
  3. Step 3: Cross multiply
    7,505.40x = 11,258.10 × 5,537.10
  4. Step 4: Simplify right side
    7,505.40x = 62,337,225.51
  5. Step 5: Solve for x
    x = 62,337,225.51/7,505.40
  6. Step 6: Final answer
    x = 8,305.65

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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.