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Finding the Fourth Proportional to 11,357.78, 15,670.08 and 6,880.10

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Solution

The fourth proportional to 11,357.78, 15,670.08 and 6,880.10 is: 9,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.78 : 15,670.08 = 6,880.10 : x
  2. Step 2: Convert to fraction form
    11,357.78/15,670.08 = 6,880.10/x
  3. Step 3: Cross multiply
    11,357.78x = 15,670.08 × 6,880.10
  4. Step 4: Simplify right side
    11,357.78x = 107,811,717.41
  5. Step 5: Solve for x
    x = 107,811,717.41/11,357.78
  6. Step 6: Final answer
    x = 9,492.32

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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.