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Finding the Fourth Proportional to 10,935.84, 15,092.88 and 7,577.76

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Solution

The fourth proportional to 10,935.84, 15,092.88 and 7,577.76 is: 10,458.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935.84 : 15,092.88 = 7,577.76 : x
  2. Step 2: Convert to fraction form
    10,935.84/15,092.88 = 7,577.76/x
  3. Step 3: Cross multiply
    10,935.84x = 15,092.88 × 7,577.76
  4. Step 4: Simplify right side
    10,935.84x = 114,370,222.35
  5. Step 5: Solve for x
    x = 114,370,222.35/10,935.84
  6. Step 6: Final answer
    x = 10,458.29

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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.