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Finding the Fourth Proportional to 7,641.08, 11,461.65 and 2,710.87

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Solution

The fourth proportional to 7,641.08, 11,461.65 and 2,710.87 is: 4,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.08 : 11,461.65 = 2,710.87 : x
  2. Step 2: Convert to fraction form
    7,641.08/11,461.65 = 2,710.87/x
  3. Step 3: Cross multiply
    7,641.08x = 11,461.65 × 2,710.87
  4. Step 4: Simplify right side
    7,641.08x = 31,071,043.14
  5. Step 5: Solve for x
    x = 31,071,043.14/7,641.08
  6. Step 6: Final answer
    x = 4,066.32

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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.