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Finding the Fourth Proportional to 10,946.88, 15,095.16 and 10,059.12

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Solution

The fourth proportional to 10,946.88, 15,095.16 and 10,059.12 is: 13,870.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946.88 : 15,095.16 = 10,059.12 : x
  2. Step 2: Convert to fraction form
    10,946.88/15,095.16 = 10,059.12/x
  3. Step 3: Cross multiply
    10,946.88x = 15,095.16 × 10,059.12
  4. Step 4: Simplify right side
    10,946.88x = 151,844,025.86
  5. Step 5: Solve for x
    x = 151,844,025.86/10,946.88
  6. Step 6: Final answer
    x = 13,870.99

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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.