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Finding the Fourth Proportional to 7,930.85, 11,895.03 and 3,547.53

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Solution

The fourth proportional to 7,930.85, 11,895.03 and 3,547.53 is: 5,320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.85 : 11,895.03 = 3,547.53 : x
  2. Step 2: Convert to fraction form
    7,930.85/11,895.03 = 3,547.53/x
  3. Step 3: Cross multiply
    7,930.85x = 11,895.03 × 3,547.53
  4. Step 4: Simplify right side
    7,930.85x = 42,197,975.78
  5. Step 5: Solve for x
    x = 42,197,975.78/7,930.85
  6. Step 6: Final answer
    x = 5,320.74

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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.