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Finding the Fourth Proportional to 10,303.61, 14,216.99 and 6,527.39

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Solution

The fourth proportional to 10,303.61, 14,216.99 and 6,527.39 is: 9,006.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.61 : 14,216.99 = 6,527.39 : x
  2. Step 2: Convert to fraction form
    10,303.61/14,216.99 = 6,527.39/x
  3. Step 3: Cross multiply
    10,303.61x = 14,216.99 × 6,527.39
  4. Step 4: Simplify right side
    10,303.61x = 92,799,734.63
  5. Step 5: Solve for x
    x = 92,799,734.63/10,303.61
  6. Step 6: Final answer
    x = 9,006.53

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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.