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Finding the Fourth Proportional to 7,530.57, 11,295.86 and 6,557.36

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Solution

The fourth proportional to 7,530.57, 11,295.86 and 6,557.36 is: 9,836.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.57 : 11,295.86 = 6,557.36 : x
  2. Step 2: Convert to fraction form
    7,530.57/11,295.86 = 6,557.36/x
  3. Step 3: Cross multiply
    7,530.57x = 11,295.86 × 6,557.36
  4. Step 4: Simplify right side
    7,530.57x = 74,070,931.26
  5. Step 5: Solve for x
    x = 74,070,931.26/7,530.57
  6. Step 6: Final answer
    x = 9,836.03

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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.