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Finding the Fourth Proportional to 10,613.94, 15,828.25 and 9,303.76

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Solution

The fourth proportional to 10,613.94, 15,828.25 and 9,303.76 is: 13,874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.94 : 15,828.25 = 9,303.76 : x
  2. Step 2: Convert to fraction form
    10,613.94/15,828.25 = 9,303.76/x
  3. Step 3: Cross multiply
    10,613.94x = 15,828.25 × 9,303.76
  4. Step 4: Simplify right side
    10,613.94x = 147,262,262.48
  5. Step 5: Solve for x
    x = 147,262,262.48/10,613.94
  6. Step 6: Final answer
    x = 13,874.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.