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Finding the Fourth Proportional to 10,577.38, 15,854.19 and 5,026.18

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Solution

The fourth proportional to 10,577.38, 15,854.19 and 5,026.18 is: 7,533.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.38 : 15,854.19 = 5,026.18 : x
  2. Step 2: Convert to fraction form
    10,577.38/15,854.19 = 5,026.18/x
  3. Step 3: Cross multiply
    10,577.38x = 15,854.19 × 5,026.18
  4. Step 4: Simplify right side
    10,577.38x = 79,686,012.69
  5. Step 5: Solve for x
    x = 79,686,012.69/10,577.38
  6. Step 6: Final answer
    x = 7,533.62

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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.