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Finding the Fourth Proportional to 10,434.80, 15,653.72 and 3,038.32

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Solution

The fourth proportional to 10,434.80, 15,653.72 and 3,038.32 is: 4,557.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.80 : 15,653.72 = 3,038.32 : x
  2. Step 2: Convert to fraction form
    10,434.80/15,653.72 = 3,038.32/x
  3. Step 3: Cross multiply
    10,434.80x = 15,653.72 × 3,038.32
  4. Step 4: Simplify right side
    10,434.80x = 47,561,010.55
  5. Step 5: Solve for x
    x = 47,561,010.55/10,434.80
  6. Step 6: Final answer
    x = 4,557.92

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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.