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Finding the Fourth Proportional to 10,697.34, 16,048.95 and 4,460.28

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Solution

The fourth proportional to 10,697.34, 16,048.95 and 4,460.28 is: 6,691.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.34 : 16,048.95 = 4,460.28 : x
  2. Step 2: Convert to fraction form
    10,697.34/16,048.95 = 4,460.28/x
  3. Step 3: Cross multiply
    10,697.34x = 16,048.95 × 4,460.28
  4. Step 4: Simplify right side
    10,697.34x = 71,582,810.71
  5. Step 5: Solve for x
    x = 71,582,810.71/10,697.34
  6. Step 6: Final answer
    x = 6,691.65

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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.