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Finding the Fourth Proportional to 10,852.03, 14,970.18 and 6,866.29

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Solution

The fourth proportional to 10,852.03, 14,970.18 and 6,866.29 is: 9,471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.03 : 14,970.18 = 6,866.29 : x
  2. Step 2: Convert to fraction form
    10,852.03/14,970.18 = 6,866.29/x
  3. Step 3: Cross multiply
    10,852.03x = 14,970.18 × 6,866.29
  4. Step 4: Simplify right side
    10,852.03x = 102,789,597.23
  5. Step 5: Solve for x
    x = 102,789,597.23/10,852.03
  6. Step 6: Final answer
    x = 9,471.92

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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.