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Finding the Fourth Proportional to 10,897.40, 16,342.02 and 6,456.04

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Solution

The fourth proportional to 10,897.40, 16,342.02 and 6,456.04 is: 9,681.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.40 : 16,342.02 = 6,456.04 : x
  2. Step 2: Convert to fraction form
    10,897.40/16,342.02 = 6,456.04/x
  3. Step 3: Cross multiply
    10,897.40x = 16,342.02 × 6,456.04
  4. Step 4: Simplify right side
    10,897.40x = 105,504,693.95
  5. Step 5: Solve for x
    x = 105,504,693.95/10,897.40
  6. Step 6: Final answer
    x = 9,681.64

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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.