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Finding the Fourth Proportional to 10,598.25, 14,625.59 and 6,406.50

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Solution

The fourth proportional to 10,598.25, 14,625.59 and 6,406.50 is: 8,840.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.25 : 14,625.59 = 6,406.50 : x
  2. Step 2: Convert to fraction form
    10,598.25/14,625.59 = 6,406.50/x
  3. Step 3: Cross multiply
    10,598.25x = 14,625.59 × 6,406.50
  4. Step 4: Simplify right side
    10,598.25x = 93,698,810.30
  5. Step 5: Solve for x
    x = 93,698,810.30/10,598.25
  6. Step 6: Final answer
    x = 8,840.97

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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.