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Finding the Fourth Proportional to 10,653.87, 14,700.92 and 6,461.31

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Solution

The fourth proportional to 10,653.87, 14,700.92 and 6,461.31 is: 8,915.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.87 : 14,700.92 = 6,461.31 : x
  2. Step 2: Convert to fraction form
    10,653.87/14,700.92 = 6,461.31/x
  3. Step 3: Cross multiply
    10,653.87x = 14,700.92 × 6,461.31
  4. Step 4: Simplify right side
    10,653.87x = 94,987,169.10
  5. Step 5: Solve for x
    x = 94,987,169.10/10,653.87
  6. Step 6: Final answer
    x = 8,915.74

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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.