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Finding the Fourth Proportional to 10,326.76, 14,254.64 and 6,135

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Solution

The fourth proportional to 10,326.76, 14,254.64 and 6,135 is: 8,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326.76 : 14,254.64 = 6,135 : x
  2. Step 2: Convert to fraction form
    10,326.76/14,254.64 = 6,135/x
  3. Step 3: Cross multiply
    10,326.76x = 14,254.64 × 6,135
  4. Step 4: Simplify right side
    10,326.76x = 87,452,216.40
  5. Step 5: Solve for x
    x = 87,452,216.40/10,326.76
  6. Step 6: Final answer
    x = 8,468.50

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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.