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Finding the Fourth Proportional to 10,036.68, 15,069.60 and 7,412.28

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Solution

The fourth proportional to 10,036.68, 15,069.60 and 7,412.28 is: 11,129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.68 : 15,069.60 = 7,412.28 : x
  2. Step 2: Convert to fraction form
    10,036.68/15,069.60 = 7,412.28/x
  3. Step 3: Cross multiply
    10,036.68x = 15,069.60 × 7,412.28
  4. Step 4: Simplify right side
    10,036.68x = 111,700,094.69
  5. Step 5: Solve for x
    x = 111,700,094.69/10,036.68
  6. Step 6: Final answer
    x = 11,129.19

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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.