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Finding the Fourth Proportional to 10,925.40, 16,352.85 and 5,653.15

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Solution

The fourth proportional to 10,925.40, 16,352.85 and 5,653.15 is: 8,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,925.40 : 16,352.85 = 5,653.15 : x
  2. Step 2: Convert to fraction form
    10,925.40/16,352.85 = 5,653.15/x
  3. Step 3: Cross multiply
    10,925.40x = 16,352.85 × 5,653.15
  4. Step 4: Simplify right side
    10,925.40x = 92,445,094.29
  5. Step 5: Solve for x
    x = 92,445,094.29/10,925.40
  6. Step 6: Final answer
    x = 8,461.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.