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Finding the Fourth Proportional to 10,598.59, 15,896.96 and 4,024.83

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Solution

The fourth proportional to 10,598.59, 15,896.96 and 4,024.83 is: 6,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.59 : 15,896.96 = 4,024.83 : x
  2. Step 2: Convert to fraction form
    10,598.59/15,896.96 = 4,024.83/x
  3. Step 3: Cross multiply
    10,598.59x = 15,896.96 × 4,024.83
  4. Step 4: Simplify right side
    10,598.59x = 63,982,482.03
  5. Step 5: Solve for x
    x = 63,982,482.03/10,598.59
  6. Step 6: Final answer
    x = 6,036.89

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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.