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Finding the Fourth Proportional to 11,345.84, 15,657.60 and 6,870.40

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Solution

The fourth proportional to 11,345.84, 15,657.60 and 6,870.40 is: 9,481.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345.84 : 15,657.60 = 6,870.40 : x
  2. Step 2: Convert to fraction form
    11,345.84/15,657.60 = 6,870.40/x
  3. Step 3: Cross multiply
    11,345.84x = 15,657.60 × 6,870.40
  4. Step 4: Simplify right side
    11,345.84x = 107,573,975.04
  5. Step 5: Solve for x
    x = 107,573,975.04/11,345.84
  6. Step 6: Final answer
    x = 9,481.36

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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.