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Finding the Fourth Proportional to 10,034.55, 13,841.33 and 7,907.76

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Solution

The fourth proportional to 10,034.55, 13,841.33 and 7,907.76 is: 10,907.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.55 : 13,841.33 = 7,907.76 : x
  2. Step 2: Convert to fraction form
    10,034.55/13,841.33 = 7,907.76/x
  3. Step 3: Cross multiply
    10,034.55x = 13,841.33 × 7,907.76
  4. Step 4: Simplify right side
    10,034.55x = 109,453,876.18
  5. Step 5: Solve for x
    x = 109,453,876.18/10,034.55
  6. Step 6: Final answer
    x = 10,907.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.