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Finding the Fourth Proportional to 10,034.58, 15,040.53 and 7,561.65

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Solution

The fourth proportional to 10,034.58, 15,040.53 and 7,561.65 is: 11,333.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.58 : 15,040.53 = 7,561.65 : x
  2. Step 2: Convert to fraction form
    10,034.58/15,040.53 = 7,561.65/x
  3. Step 3: Cross multiply
    10,034.58x = 15,040.53 × 7,561.65
  4. Step 4: Simplify right side
    10,034.58x = 113,731,223.67
  5. Step 5: Solve for x
    x = 113,731,223.67/10,034.58
  6. Step 6: Final answer
    x = 11,333.93

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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.