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Finding the Fourth Proportional to 10,340.42, 15,501.63 and 6,643.70

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Solution

The fourth proportional to 10,340.42, 15,501.63 and 6,643.70 is: 9,959.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.42 : 15,501.63 = 6,643.70 : x
  2. Step 2: Convert to fraction form
    10,340.42/15,501.63 = 6,643.70/x
  3. Step 3: Cross multiply
    10,340.42x = 15,501.63 × 6,643.70
  4. Step 4: Simplify right side
    10,340.42x = 102,988,179.23
  5. Step 5: Solve for x
    x = 102,988,179.23/10,340.42
  6. Step 6: Final answer
    x = 9,959.77

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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.