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Finding the Fourth Proportional to 10,143.83, 15,192.66 and 7,009.64

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Solution

The fourth proportional to 10,143.83, 15,192.66 and 7,009.64 is: 10,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.83 : 15,192.66 = 7,009.64 : x
  2. Step 2: Convert to fraction form
    10,143.83/15,192.66 = 7,009.64/x
  3. Step 3: Cross multiply
    10,143.83x = 15,192.66 × 7,009.64
  4. Step 4: Simplify right side
    10,143.83x = 106,495,084.54
  5. Step 5: Solve for x
    x = 106,495,084.54/10,143.83
  6. Step 6: Final answer
    x = 10,498.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.