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Finding the Fourth Proportional to 7,750.65, 11,623.95 and 5,285.01

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Solution

The fourth proportional to 7,750.65, 11,623.95 and 5,285.01 is: 7,926.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.65 : 11,623.95 = 5,285.01 : x
  2. Step 2: Convert to fraction form
    7,750.65/11,623.95 = 5,285.01/x
  3. Step 3: Cross multiply
    7,750.65x = 11,623.95 × 5,285.01
  4. Step 4: Simplify right side
    7,750.65x = 61,432,691.99
  5. Step 5: Solve for x
    x = 61,432,691.99/7,750.65
  6. Step 6: Final answer
    x = 7,926.13

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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.