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Finding the Fourth Proportional to 10,030.09, 15,036.69 and 6,324.16

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Solution

The fourth proportional to 10,030.09, 15,036.69 and 6,324.16 is: 9,480.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.09 : 15,036.69 = 6,324.16 : x
  2. Step 2: Convert to fraction form
    10,030.09/15,036.69 = 6,324.16/x
  3. Step 3: Cross multiply
    10,030.09x = 15,036.69 × 6,324.16
  4. Step 4: Simplify right side
    10,030.09x = 95,094,433.43
  5. Step 5: Solve for x
    x = 95,094,433.43/10,030.09
  6. Step 6: Final answer
    x = 9,480.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.