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Finding the Fourth Proportional to 10,435.62, 15,655.18 and 4,596.32

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Solution

The fourth proportional to 10,435.62, 15,655.18 and 4,596.32 is: 6,895.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.62 : 15,655.18 = 4,596.32 : x
  2. Step 2: Convert to fraction form
    10,435.62/15,655.18 = 4,596.32/x
  3. Step 3: Cross multiply
    10,435.62x = 15,655.18 × 4,596.32
  4. Step 4: Simplify right side
    10,435.62x = 71,956,216.94
  5. Step 5: Solve for x
    x = 71,956,216.94/10,435.62
  6. Step 6: Final answer
    x = 6,895.25

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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.