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Finding the Fourth Proportional to 7,641.04, 11,461.62 and 7,267.96

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Solution

The fourth proportional to 7,641.04, 11,461.62 and 7,267.96 is: 10,902.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.04 : 11,461.62 = 7,267.96 : x
  2. Step 2: Convert to fraction form
    7,641.04/11,461.62 = 7,267.96/x
  3. Step 3: Cross multiply
    7,641.04x = 11,461.62 × 7,267.96
  4. Step 4: Simplify right side
    7,641.04x = 83,302,595.70
  5. Step 5: Solve for x
    x = 83,302,595.70/7,641.04
  6. Step 6: Final answer
    x = 10,902.00

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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.