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Finding the Fourth Proportional to 10,903.34, 15,048.56 and 6,426.82

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Solution

The fourth proportional to 10,903.34, 15,048.56 and 6,426.82 is: 8,870.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903.34 : 15,048.56 = 6,426.82 : x
  2. Step 2: Convert to fraction form
    10,903.34/15,048.56 = 6,426.82/x
  3. Step 3: Cross multiply
    10,903.34x = 15,048.56 × 6,426.82
  4. Step 4: Simplify right side
    10,903.34x = 96,714,386.38
  5. Step 5: Solve for x
    x = 96,714,386.38/10,903.34
  6. Step 6: Final answer
    x = 8,870.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.