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Finding the Fourth Proportional to 7,492.50, 11,264.40 and 6,877.71

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Solution

The fourth proportional to 7,492.50, 11,264.40 and 6,877.71 is: 10,340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.50 : 11,264.40 = 6,877.71 : x
  2. Step 2: Convert to fraction form
    7,492.50/11,264.40 = 6,877.71/x
  3. Step 3: Cross multiply
    7,492.50x = 11,264.40 × 6,877.71
  4. Step 4: Simplify right side
    7,492.50x = 77,473,276.52
  5. Step 5: Solve for x
    x = 77,473,276.52/7,492.50
  6. Step 6: Final answer
    x = 10,340.11

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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.