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Finding the Fourth Proportional to 10,762.50, 14,858.34 and 6,989.04

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Solution

The fourth proportional to 10,762.50, 14,858.34 and 6,989.04 is: 9,648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.50 : 14,858.34 = 6,989.04 : x
  2. Step 2: Convert to fraction form
    10,762.50/14,858.34 = 6,989.04/x
  3. Step 3: Cross multiply
    10,762.50x = 14,858.34 × 6,989.04
  4. Step 4: Simplify right side
    10,762.50x = 103,845,532.59
  5. Step 5: Solve for x
    x = 103,845,532.59/10,762.50
  6. Step 6: Final answer
    x = 9,648.83

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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.