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Finding the Fourth Proportional to 10,937.40, 16,403.08 and 4,697.16

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Solution

The fourth proportional to 10,937.40, 16,403.08 and 4,697.16 is: 7,044.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.40 : 16,403.08 = 4,697.16 : x
  2. Step 2: Convert to fraction form
    10,937.40/16,403.08 = 4,697.16/x
  3. Step 3: Cross multiply
    10,937.40x = 16,403.08 × 4,697.16
  4. Step 4: Simplify right side
    10,937.40x = 77,047,891.25
  5. Step 5: Solve for x
    x = 77,047,891.25/10,937.40
  6. Step 6: Final answer
    x = 7,044.44

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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.