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Finding the Fourth Proportional to 11,507.16, 15,870.12 and 9,723.39

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Solution

The fourth proportional to 11,507.16, 15,870.12 and 9,723.39 is: 13,410.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.16 : 15,870.12 = 9,723.39 : x
  2. Step 2: Convert to fraction form
    11,507.16/15,870.12 = 9,723.39/x
  3. Step 3: Cross multiply
    11,507.16x = 15,870.12 × 9,723.39
  4. Step 4: Simplify right side
    11,507.16x = 154,311,366.11
  5. Step 5: Solve for x
    x = 154,311,366.11/11,507.16
  6. Step 6: Final answer
    x = 13,410.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.