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Finding the Fourth Proportional to 10,045.96, 13,844.31 and 7,358

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Solution

The fourth proportional to 10,045.96, 13,844.31 and 7,358 is: 10,140.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.96 : 13,844.31 = 7,358 : x
  2. Step 2: Convert to fraction form
    10,045.96/13,844.31 = 7,358/x
  3. Step 3: Cross multiply
    10,045.96x = 13,844.31 × 7,358
  4. Step 4: Simplify right side
    10,045.96x = 101,866,432.98
  5. Step 5: Solve for x
    x = 101,866,432.98/10,045.96
  6. Step 6: Final answer
    x = 10,140.04

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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.