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Finding the Fourth Proportional to 10,858.54, 14,985.12 and 7,628.80

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Solution

The fourth proportional to 10,858.54, 14,985.12 and 7,628.80 is: 10,527.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,858.54 : 14,985.12 = 7,628.80 : x
  2. Step 2: Convert to fraction form
    10,858.54/14,985.12 = 7,628.80/x
  3. Step 3: Cross multiply
    10,858.54x = 14,985.12 × 7,628.80
  4. Step 4: Simplify right side
    10,858.54x = 114,318,483.46
  5. Step 5: Solve for x
    x = 114,318,483.46/10,858.54
  6. Step 6: Final answer
    x = 10,527.98

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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.