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Finding the Fourth Proportional to 10,852.92, 14,971.62 and 7,309.98

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Solution

The fourth proportional to 10,852.92, 14,971.62 and 7,309.98 is: 10,084.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.92 : 14,971.62 = 7,309.98 : x
  2. Step 2: Convert to fraction form
    10,852.92/14,971.62 = 7,309.98/x
  3. Step 3: Cross multiply
    10,852.92x = 14,971.62 × 7,309.98
  4. Step 4: Simplify right side
    10,852.92x = 109,442,242.77
  5. Step 5: Solve for x
    x = 109,442,242.77/10,852.92
  6. Step 6: Final answer
    x = 10,084.13

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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.