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Finding the Fourth Proportional to 10,310.40, 15,460.43 and 5,045.81

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Solution

The fourth proportional to 10,310.40, 15,460.43 and 5,045.81 is: 7,566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.40 : 15,460.43 = 5,045.81 : x
  2. Step 2: Convert to fraction form
    10,310.40/15,460.43 = 5,045.81/x
  3. Step 3: Cross multiply
    10,310.40x = 15,460.43 × 5,045.81
  4. Step 4: Simplify right side
    10,310.40x = 78,010,289.77
  5. Step 5: Solve for x
    x = 78,010,289.77/10,310.40
  6. Step 6: Final answer
    x = 7,566.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.