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Finding the Fourth Proportional to 10,726.81, 14,804.72 and 6,253.18

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Solution

The fourth proportional to 10,726.81, 14,804.72 and 6,253.18 is: 8,630.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.81 : 14,804.72 = 6,253.18 : x
  2. Step 2: Convert to fraction form
    10,726.81/14,804.72 = 6,253.18/x
  3. Step 3: Cross multiply
    10,726.81x = 14,804.72 × 6,253.18
  4. Step 4: Simplify right side
    10,726.81x = 92,576,547.74
  5. Step 5: Solve for x
    x = 92,576,547.74/10,726.81
  6. Step 6: Final answer
    x = 8,630.39

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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.