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Finding the Fourth Proportional to 10,598.50, 14,627.28 and 6,406.75

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Solution

The fourth proportional to 10,598.50, 14,627.28 and 6,406.75 is: 8,842.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.50 : 14,627.28 = 6,406.75 : x
  2. Step 2: Convert to fraction form
    10,598.50/14,627.28 = 6,406.75/x
  3. Step 3: Cross multiply
    10,598.50x = 14,627.28 × 6,406.75
  4. Step 4: Simplify right side
    10,598.50x = 93,713,326.14
  5. Step 5: Solve for x
    x = 93,713,326.14/10,598.50
  6. Step 6: Final answer
    x = 8,842.13

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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.