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Finding the Fourth Proportional to 10,897.53, 16,343.38 and 4,654.45

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Solution

The fourth proportional to 10,897.53, 16,343.38 and 4,654.45 is: 6,980.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.53 : 16,343.38 = 4,654.45 : x
  2. Step 2: Convert to fraction form
    10,897.53/16,343.38 = 4,654.45/x
  3. Step 3: Cross multiply
    10,897.53x = 16,343.38 × 4,654.45
  4. Step 4: Simplify right side
    10,897.53x = 76,069,445.04
  5. Step 5: Solve for x
    x = 76,069,445.04/10,897.53
  6. Step 6: Final answer
    x = 6,980.43

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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.