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Finding the Fourth Proportional to 10,775.06, 14,852.64 and 9,871.10

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Solution

The fourth proportional to 10,775.06, 14,852.64 and 9,871.10 is: 13,606.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.06 : 14,852.64 = 9,871.10 : x
  2. Step 2: Convert to fraction form
    10,775.06/14,852.64 = 9,871.10/x
  3. Step 3: Cross multiply
    10,775.06x = 14,852.64 × 9,871.10
  4. Step 4: Simplify right side
    10,775.06x = 146,611,894.70
  5. Step 5: Solve for x
    x = 146,611,894.70/10,775.06
  6. Step 6: Final answer
    x = 13,606.60

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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.