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Finding the Fourth Proportional to 10,598.75, 14,628.85 and 6,352.32

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Solution

The fourth proportional to 10,598.75, 14,628.85 and 6,352.32 is: 8,767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.75 : 14,628.85 = 6,352.32 : x
  2. Step 2: Convert to fraction form
    10,598.75/14,628.85 = 6,352.32/x
  3. Step 3: Cross multiply
    10,598.75x = 14,628.85 × 6,352.32
  4. Step 4: Simplify right side
    10,598.75x = 92,927,211.14
  5. Step 5: Solve for x
    x = 92,927,211.14/10,598.75
  6. Step 6: Final answer
    x = 8,767.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.