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Finding the Fourth Proportional to 10,427.58, 15,642.90 and 3,032.64

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Solution

The fourth proportional to 10,427.58, 15,642.90 and 3,032.64 is: 4,549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.58 : 15,642.90 = 3,032.64 : x
  2. Step 2: Convert to fraction form
    10,427.58/15,642.90 = 3,032.64/x
  3. Step 3: Cross multiply
    10,427.58x = 15,642.90 × 3,032.64
  4. Step 4: Simplify right side
    10,427.58x = 47,439,284.26
  5. Step 5: Solve for x
    x = 47,439,284.26/10,427.58
  6. Step 6: Final answer
    x = 4,549.40

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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.