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Finding the Fourth Proportional to 7,666.27, 11,492.10 and 2,468.50

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Solution

The fourth proportional to 7,666.27, 11,492.10 and 2,468.50 is: 3,700.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.27 : 11,492.10 = 2,468.50 : x
  2. Step 2: Convert to fraction form
    7,666.27/11,492.10 = 2,468.50/x
  3. Step 3: Cross multiply
    7,666.27x = 11,492.10 × 2,468.50
  4. Step 4: Simplify right side
    7,666.27x = 28,368,248.85
  5. Step 5: Solve for x
    x = 28,368,248.85/7,666.27
  6. Step 6: Final answer
    x = 3,700.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.