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Finding the Fourth Proportional to 7,630.66, 11,423.76 and 4,700.08

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Solution

The fourth proportional to 7,630.66, 11,423.76 and 4,700.08 is: 7,036.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.66 : 11,423.76 = 4,700.08 : x
  2. Step 2: Convert to fraction form
    7,630.66/11,423.76 = 4,700.08/x
  3. Step 3: Cross multiply
    7,630.66x = 11,423.76 × 4,700.08
  4. Step 4: Simplify right side
    7,630.66x = 53,692,585.90
  5. Step 5: Solve for x
    x = 53,692,585.90/7,630.66
  6. Step 6: Final answer
    x = 7,036.43

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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.