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Finding the Fourth Proportional to 10,435.72, 15,653.59 and 5,437.06

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Solution

The fourth proportional to 10,435.72, 15,653.59 and 5,437.06 is: 8,155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.72 : 15,653.59 = 5,437.06 : x
  2. Step 2: Convert to fraction form
    10,435.72/15,653.59 = 5,437.06/x
  3. Step 3: Cross multiply
    10,435.72x = 15,653.59 × 5,437.06
  4. Step 4: Simplify right side
    10,435.72x = 85,109,508.05
  5. Step 5: Solve for x
    x = 85,109,508.05/10,435.72
  6. Step 6: Final answer
    x = 8,155.60

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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.