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Finding the Fourth Proportional to 7,641.84, 11,466.48 and 2,715.12

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Solution

The fourth proportional to 7,641.84, 11,466.48 and 2,715.12 is: 4,074.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.84 : 11,466.48 = 2,715.12 : x
  2. Step 2: Convert to fraction form
    7,641.84/11,466.48 = 2,715.12/x
  3. Step 3: Cross multiply
    7,641.84x = 11,466.48 × 2,715.12
  4. Step 4: Simplify right side
    7,641.84x = 31,132,869.18
  5. Step 5: Solve for x
    x = 31,132,869.18/7,641.84
  6. Step 6: Final answer
    x = 4,074.00

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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.