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Finding the Fourth Proportional to 7,482.66, 11,226 and 6,666.54

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Solution

The fourth proportional to 7,482.66, 11,226 and 6,666.54 is: 10,001.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,482.66 : 11,226 = 6,666.54 : x
  2. Step 2: Convert to fraction form
    7,482.66/11,226 = 6,666.54/x
  3. Step 3: Cross multiply
    7,482.66x = 11,226 × 6,666.54
  4. Step 4: Simplify right side
    7,482.66x = 74,838,578.04
  5. Step 5: Solve for x
    x = 74,838,578.04/7,482.66
  6. Step 6: Final answer
    x = 10,001.60

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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.