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Finding the Fourth Proportional to 10,653.12, 14,700.56 and 6,116.32

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Solution

The fourth proportional to 10,653.12, 14,700.56 and 6,116.32 is: 8,440.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.12 : 14,700.56 = 6,116.32 : x
  2. Step 2: Convert to fraction form
    10,653.12/14,700.56 = 6,116.32/x
  3. Step 3: Cross multiply
    10,653.12x = 14,700.56 × 6,116.32
  4. Step 4: Simplify right side
    10,653.12x = 89,913,329.14
  5. Step 5: Solve for x
    x = 89,913,329.14/10,653.12
  6. Step 6: Final answer
    x = 8,440.09

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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.