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Finding the Fourth Proportional to 10,298.59, 15,434.36 and 5,858.29

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Solution

The fourth proportional to 10,298.59, 15,434.36 and 5,858.29 is: 8,779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.59 : 15,434.36 = 5,858.29 : x
  2. Step 2: Convert to fraction form
    10,298.59/15,434.36 = 5,858.29/x
  3. Step 3: Cross multiply
    10,298.59x = 15,434.36 × 5,858.29
  4. Step 4: Simplify right side
    10,298.59x = 90,419,001.77
  5. Step 5: Solve for x
    x = 90,419,001.77/10,298.59
  6. Step 6: Final answer
    x = 8,779.74

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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.