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Finding the Fourth Proportional to 10,071.16, 15,049.01 and 7,686.04

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Solution

The fourth proportional to 10,071.16, 15,049.01 and 7,686.04 is: 11,485.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.16 : 15,049.01 = 7,686.04 : x
  2. Step 2: Convert to fraction form
    10,071.16/15,049.01 = 7,686.04/x
  3. Step 3: Cross multiply
    10,071.16x = 15,049.01 × 7,686.04
  4. Step 4: Simplify right side
    10,071.16x = 115,667,292.82
  5. Step 5: Solve for x
    x = 115,667,292.82/10,071.16
  6. Step 6: Final answer
    x = 11,485.00

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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.