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Finding the Fourth Proportional to 10,637.64, 15,959.16 and 4,063.14

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Solution

The fourth proportional to 10,637.64, 15,959.16 and 4,063.14 is: 6,095.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637.64 : 15,959.16 = 4,063.14 : x
  2. Step 2: Convert to fraction form
    10,637.64/15,959.16 = 4,063.14/x
  3. Step 3: Cross multiply
    10,637.64x = 15,959.16 × 4,063.14
  4. Step 4: Simplify right side
    10,637.64x = 64,844,301.36
  5. Step 5: Solve for x
    x = 64,844,301.36/10,637.64
  6. Step 6: Final answer
    x = 6,095.74

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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.