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Finding the Fourth Proportional to 10,635.57, 14,652.51 and 7,646.23

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Solution

The fourth proportional to 10,635.57, 14,652.51 and 7,646.23 is: 10,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.57 : 14,652.51 = 7,646.23 : x
  2. Step 2: Convert to fraction form
    10,635.57/14,652.51 = 7,646.23/x
  3. Step 3: Cross multiply
    10,635.57x = 14,652.51 × 7,646.23
  4. Step 4: Simplify right side
    10,635.57x = 112,036,461.54
  5. Step 5: Solve for x
    x = 112,036,461.54/10,635.57
  6. Step 6: Final answer
    x = 10,534.13

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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.