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Finding the Fourth Proportional to 10,451.52, 14,427.59 and 6,419.00

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Solution

The fourth proportional to 10,451.52, 14,427.59 and 6,419.00 is: 8,860.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.52 : 14,427.59 = 6,419.00 : x
  2. Step 2: Convert to fraction form
    10,451.52/14,427.59 = 6,419.00/x
  3. Step 3: Cross multiply
    10,451.52x = 14,427.59 × 6,419.00
  4. Step 4: Simplify right side
    10,451.52x = 92,610,639.59
  5. Step 5: Solve for x
    x = 92,610,639.59/10,451.52
  6. Step 6: Final answer
    x = 8,860.98

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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.