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Finding the Fourth Proportional to 13,410.61, 18,507.45 and 7,746.40

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Solution

The fourth proportional to 13,410.61, 18,507.45 and 7,746.40 is: 10,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.61 : 18,507.45 = 7,746.40 : x
  2. Step 2: Convert to fraction form
    13,410.61/18,507.45 = 7,746.40/x
  3. Step 3: Cross multiply
    13,410.61x = 18,507.45 × 7,746.40
  4. Step 4: Simplify right side
    13,410.61x = 143,366,110.68
  5. Step 5: Solve for x
    x = 143,366,110.68/13,410.61
  6. Step 6: Final answer
    x = 10,690.50

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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.