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Finding the Fourth Proportional to 10,011.42, 15,009.03 and 6,114.51

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Solution

The fourth proportional to 10,011.42, 15,009.03 and 6,114.51 is: 9,166.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.42 : 15,009.03 = 6,114.51 : x
  2. Step 2: Convert to fraction form
    10,011.42/15,009.03 = 6,114.51/x
  3. Step 3: Cross multiply
    10,011.42x = 15,009.03 × 6,114.51
  4. Step 4: Simplify right side
    10,011.42x = 91,772,864.03
  5. Step 5: Solve for x
    x = 91,772,864.03/10,011.42
  6. Step 6: Final answer
    x = 9,166.82

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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.