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Finding the Fourth Proportional to 10,827.78, 14,948.64 and 7,475.46

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Solution

The fourth proportional to 10,827.78, 14,948.64 and 7,475.46 is: 10,320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.78 : 14,948.64 = 7,475.46 : x
  2. Step 2: Convert to fraction form
    10,827.78/14,948.64 = 7,475.46/x
  3. Step 3: Cross multiply
    10,827.78x = 14,948.64 × 7,475.46
  4. Step 4: Simplify right side
    10,827.78x = 111,747,960.37
  5. Step 5: Solve for x
    x = 111,747,960.37/10,827.78
  6. Step 6: Final answer
    x = 10,320.49

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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.